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1999-12-11 03:00:00
2025-07-19 00:40:46
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A382616
Expansion of 1/(1 - x/(1 - x)^3)^2.
[ "1", "2", "9", "34", "124", "444", "1567", "5466", "18885", "64732", "220403", "746166", "2513678", "8431650", "28175256", "93834240", "311565255", "1031723268", "3408137644", "11233323692", "36950587185", "121319416734", "397649266199", "1301332828086", "4252515425757", "13877722224278", "45232020345642" ]
[ "nonn", "easy" ]
18
0
2
[ "A045623", "A052529", "A290917", "A382615", "A382616" ]
null
Seiichi Manyama, Mar 31 2025
2025-04-02T15:57:37
oeisdata/seq/A382/A382616.seq
19f250718721d87e69bd1a6fd01ec62d
A382617
Numbers k such that k = m*(m^2 + 1) where m^2 + 1 is prime.
[ "2", "10", "68", "222", "1010", "2758", "4112", "8020", "13848", "17602", "46692", "64040", "157518", "175672", "287562", "405298", "592788", "729090", "830678", "1331110", "1561012", "1728120", "1906748", "2000502", "2197130", "2406238", "3112282", "3375150", "3796572", "4096160", "4913170", "5451952", "5832180", "6229688" ]
[ "nonn" ]
15
1
1
[ "A002496", "A005574", "A070304", "A382617" ]
null
Steven Lee Benjamin, Mar 31 2025
2025-04-15T15:16:32
oeisdata/seq/A382/A382617.seq
e0e1b533b2157449b1eaf2766d0cff19
A382618
a(n) = 3^(n-2)*(binomial(n,2) + 3*n + 9).
[ "1", "4", "16", "63", "243", "918", "3402", "12393", "44469", "157464", "551124", "1909251", "6554439", "22320522", "75464622", "253497357", "846585513", "2812385772", "9298091736", "30606218631", "100341906651", "327757733694", "1066956026706", "3462376910193", "11203038280413", "36150980669568", "116360969030172" ]
[ "nonn", "easy" ]
15
0
2
[ "A006234", "A382618" ]
null
Enrique Navarrete, Apr 01 2025
2025-04-13T18:55:51
oeisdata/seq/A382/A382618.seq
7980b29d201f8fe9a64d7b92eece5174
A382619
a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n).
[ "2", "6", "1", "7", "77", "64", "47", "28", "5", "145", "114", "77", "36", "1548", "1501", "1448", "1389", "1328", "1261", "1190", "1117", "1038", "955", "866", "769", "668", "565", "458", "349", "236", "109", "14279", "14142", "14003", "13854", "13703", "13546", "13383", "13216", "13043", "12864", "12683", "12492", "12299", "12102", "11903" ]
[ "easy", "look", "nonn" ]
12
1
1
null
null
Anant Pratap Singh, Apr 01 2025
2025-04-06T14:52:43
oeisdata/seq/A382/A382619.seq
6d0f14522f494b2f81ee3e7299fc8637
A382620
a(n) = n^(2*n-4) * (n!)^2 * (n^2)! * Pochhammer(1+1/n, n-1) / ((n^2-n+1) * (n^2-n)!).
[ "1", "24", "72576", "4528742400", "2423748096000000", "6787796602812825600000", "72775351435975459999580160000", "2410818176289650624878632291532800000", "211160088068074747246458003999015567360000000", "43450506124990177923906533235556142284800000000000000", "19145311724106592586650799558102522667408683773722624000000000" ]
[ "nonn" ]
7
1
2
[ "A382532", "A382612", "A382620" ]
null
Wesley Ivan Hurt, Apr 01 2025
2025-04-06T19:38:00
oeisdata/seq/A382/A382620.seq
1b27dd37477153e96db2f8e152001364
A382621
Lexicographically earliest sequence of distinct positive integers such that if a digit d in the digit stream (ignoring commas) is even, the previous digit is > d.
[ "1", "3", "2", "5", "4", "7", "6", "9", "8", "10", "11", "13", "15", "17", "19", "20", "30", "31", "32", "33", "21", "35", "23", "25", "27", "29", "37", "39", "40", "50", "51", "52", "53", "54", "55", "41", "57", "42", "59", "43", "70", "71", "72", "73", "74", "75", "45", "47", "49", "60", "76", "77", "61", "79", "62", "90", "91", "92", "93", "94", "95", "96", "97", "63", "98", "64", "99", "65", "101", "103" ]
[ "nonn", "base", "look" ]
21
1
2
[ "A342042", "A382462", "A382621", "A382622", "A382623", "A382624", "A382625" ]
null
Paolo Xausa, Apr 01 2025
2025-05-13T11:34:18
oeisdata/seq/A382/A382621.seq
2633c7964841e07eeadce7d6a223c4b2
A382622
First differences of A382621.
[ "2", "-1", "3", "-1", "3", "-1", "3", "-1", "2", "1", "2", "2", "2", "2", "1", "10", "1", "1", "1", "-12", "14", "-12", "2", "2", "2", "8", "2", "1", "10", "1", "1", "1", "1", "1", "-14", "16", "-15", "17", "-16", "27", "1", "1", "1", "1", "1", "-30", "2", "2", "11", "16", "1", "-16", "18", "-17", "28", "1", "1", "1", "1", "1", "1", "1", "-34", "35", "-34", "35", "-34", "36", "2", "2", "2", "-40", "2", "11", "29" ]
[ "sign", "base" ]
7
1
1
[ "A382621", "A382622" ]
null
Paolo Xausa, Apr 01 2025
2025-04-08T23:10:52
oeisdata/seq/A382/A382622.seq
8f5051faeb2bc8eb581d3c05a3b39f02
A382623
Positive integers that contain an even digit d immediately preceded by a digit <= d.
[ "12", "14", "16", "18", "22", "24", "26", "28", "34", "36", "38", "44", "46", "48", "56", "58", "66", "68", "78", "88", "100", "102", "104", "106", "108", "112", "114", "116", "118", "120", "121", "122", "123", "124", "125", "126", "127", "128", "129", "134", "136", "138", "140", "141", "142", "143", "144", "145", "146", "147", "148", "149", "156", "158", "160", "161", "162", "163" ]
[ "nonn", "base", "easy" ]
9
1
1
[ "A347298", "A382464", "A382621", "A382623", "A382624" ]
null
Paolo Xausa, Apr 01 2025
2025-04-08T23:12:55
oeisdata/seq/A382/A382623.seq
b29fe725e167ef505c557a8c768814d7
A382624
Positive integers such that every even digit except the leftmost is immediately preceded by a larger digit.
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "13", "15", "17", "19", "20", "21", "23", "25", "27", "29", "30", "31", "32", "33", "35", "37", "39", "40", "41", "42", "43", "45", "47", "49", "50", "51", "52", "53", "54", "55", "57", "59", "60", "61", "62", "63", "64", "65", "67", "69", "70", "71", "72", "73", "74", "75", "76", "77", "79", "80", "81", "82", "83", "84", "85", "86", "87", "89", "90" ]
[ "nonn", "base", "easy" ]
12
1
2
[ "A377912", "A382465", "A382621", "A382623", "A382624" ]
null
Paolo Xausa, Apr 01 2025
2025-04-09T01:10:00
oeisdata/seq/A382/A382624.seq
610e270760e82b492ea04c3b04a17d66
A382625
Split A382621 into runs of increasing elements. a(n) is the length of the n-th run.
[ "2", "2", "2", "2", "12", "2", "13", "2", "2", "7", "6", "2", "9", "2", "2", "5", "4", "7", "8", "9", "10", "11", "4", "4", "3", "2", "4", "3", "4", "2", "6", "2", "4", "7", "2", "2", "11", "2", "2", "39", "2", "5", "5", "2", "5", "5", "2", "5", "6", "2", "2", "9", "2", "2", "7", "2", "5", "7", "2", "2", "2", "11", "2", "2", "2", "2", "10", "2", "6", "4", "6", "2", "7", "4", "7", "2", "8", "4", "8", "2", "9", "2", "11", "2", "2", "5", "2" ]
[ "nonn", "base" ]
7
1
1
[ "A382621", "A382625" ]
null
Paolo Xausa, Apr 01 2025
2025-04-08T23:10:39
oeisdata/seq/A382/A382625.seq
e961b9db5b32f0ee7269aea867746259
A382626
Decimal expansion of the smallest (in absolute value) root of 1-x-x^2-x^3-x^4.
[ "5", "1", "8", "7", "9", "0", "0", "6", "3", "6", "7", "5", "8", "8", "4", "2", "2", "1", "9", "0", "7", "4", "5", "3", "8", "9", "4", "4", "3", "5", "2", "7", "9", "9", "9", "8", "8", "6", "2", "1", "2", "7", "8", "0", "9", "0", "4", "6", "8", "5", "4", "7", "1", "2", "2", "4", "4", "0", "9", "1", "6", "1", "9", "8", "4", "8", "1", "3", "1", "9", "5", "4", "5", "4", "2", "2", "3", "3", "0", "9", "7", "2", "6", "3", "5", "3", "7", "4", "8", "1", "6", "3", "2", "1", "3", "6", "0", "3", "9", "9", "3", "1", "7", "4", "2", "3", "1", "9", "7", "9", "2", "0", "6" ]
[ "nonn", "cons" ]
10
0
1
[ "A001622", "A086088", "A192918", "A382626", "A382627" ]
null
R. J. Mathar, Apr 01 2025
2025-04-02T09:29:34
oeisdata/seq/A382/A382626.seq
948866c8ab9711c946f36b514f5454af
A382627
Decimal expansion of the smallest (in absolute value) root of 1-x-x^2-x^3-x^4-x^5.
[ "5", "0", "8", "6", "6", "0", "3", "9", "1", "6", "4", "2", "0", "0", "4", "1", "3", "6", "4", "6", "3", "8", "4", "2", "9", "6", "5", "8", "9", "8", "4", "1", "3", "9", "9", "5", "3", "2", "4", "4", "0", "6", "4", "3", "5", "9", "0", "1", "0", "2", "8", "6", "1", "1", "7", "2", "1", "0", "9", "2", "2", "8", "3", "6", "7", "1", "0", "2", "7", "9", "3", "1", "2", "8", "3", "9", "9", "0", "3", "1", "1", "4", "6", "5", "0", "1", "1", "0", "2", "6", "0", "8", "3", "7", "7", "7", "3", "1", "1", "6", "9", "2", "9", "6", "6", "9", "8", "3", "6", "9", "9", "7", "1" ]
[ "nonn", "cons" ]
6
0
1
[ "A001622", "A103814", "A192918", "A382626", "A382627" ]
null
R. J. Mathar, Apr 01 2025
2025-04-02T09:15:35
oeisdata/seq/A382/A382627.seq
b78f1728733c8773179dc6909bc04854
A382628
Centered hexagonal numbers that are sphenic numbers.
[ "3367", "4921", "8911", "9919", "10621", "14911", "18487", "21931", "25669", "27937", "37297", "41419", "55081", "63511", "66157", "72541", "80197", "106597", "108871", "113491", "117019", "130417", "134197", "136747", "139321", "174967", "195841", "198919", "203581", "219511", "226051", "232687", "236041", "244531", "247969", "256669", "258427", "269101", "272707", "287371" ]
[ "nonn" ]
19
1
1
[ "A003215", "A007304", "A113530", "A382628" ]
null
Massimo Kofler, Apr 01 2025
2025-04-12T11:57:52
oeisdata/seq/A382/A382628.seq
e8c2795ec72e9cde9403f99447091896
A382629
Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (n-k)*T(n-1,k-1) + 2*(k+1)*T(n-1,k) + A102365(n,k) with T(n,k) = 0 if k < 0 or k > n.
[ "1", "3", "0", "7", "4", "0", "15", "35", "5", "0", "31", "203", "115", "6", "0", "63", "994", "1428", "315", "7", "0", "127", "4470", "13421", "7450", "783", "8", "0", "255", "19185", "108156", "121314", "32865", "1839", "9", "0", "511", "80161", "793704", "1593902", "870191", "130665", "4171", "10", "0", "1023", "329648", "5483093", "18269658", "17591035", "5383906", "485166", "9251", "11", "0" ]
[ "nonn", "tabl" ]
20
0
2
[ "A098830", "A102365", "A126646", "A180875", "A382629" ]
null
Seiichi Manyama, Apr 01 2025
2025-04-02T04:17:30
oeisdata/seq/A382/A382629.seq
32c45ecc837fcf28aac0d462143bc2a1
A382630
a(n) is the number of ways that n can be written as b+c*d, where b, c and d are positive integers and b < c < d.
[ "0", "0", "0", "0", "0", "0", "0", "1", "0", "1", "0", "1", "0", "2", "1", "1", "1", "2", "0", "2", "1", "2", "2", "3", "0", "3", "2", "2", "1", "3", "1", "4", "2", "3", "3", "3", "1", "4", "3", "3", "1", "4", "2", "5", "3", "3", "4", "5", "1", "5", "3", "4", "3", "5", "2", "4", "3", "5", "5", "6", "1", "6", "5", "4", "4", "5", "3", "6", "4", "5", "3", "6", "2", "7", "6", "5", "5", "6", "4", "7", "3", "6", "6", "7", "2", "6", "6", "6", "4", "7", "3", "7" ]
[ "nonn" ]
22
0
14
null
null
Jonatan Djurachkovitch, Apr 01 2025
2025-05-05T09:43:12
oeisdata/seq/A382/A382630.seq
ca89124ff72b17c1a770aa0e18799d17
A382631
Integers whose binary representation contains exactly four 1's, no two 1's being adjacent.
[ "85", "149", "165", "169", "170", "277", "293", "297", "298", "325", "329", "330", "337", "338", "340", "533", "549", "553", "554", "581", "585", "586", "593", "594", "596", "645", "649", "650", "657", "658", "660", "673", "674", "676", "680", "1045", "1061", "1065", "1066", "1093", "1097", "1098", "1105", "1106", "1108", "1157", "1161", "1162", "1169", "1170" ]
[ "nonn", "easy", "base" ]
42
1
1
[ "A003714", "A014312", "A136318", "A173589", "A382631" ]
null
Chai Wah Wu, Apr 07 2025
2025-04-07T16:05:13
oeisdata/seq/A382/A382631.seq
0770d3a38925c2469d9359cc186f671c
A382632
Numbers k such that one can make an equilateral triangle from a chain of linked rods of length 1, 2, 3, ..., k, with perimeter equal to the total length.
[ "9", "90", "125", "153", "189", "440", "819", "989", "1295", "1394", "1484", "1701", "2079", "2448", "2925", "3024", "4004", "5453", "6174", "7865", "8910", "13509", "13689", "13923", "16235", "19683", "20294", "21824", "24804", "26649", "32760", "33488", "37169", "37925", "39024", "40733", "42704", "44225", "44289", "47915", "48734", "52325", "97335", "101870" ]
[ "nonn" ]
9
1
1
[ "A380867", "A380868", "A382268", "A382605", "A382632" ]
null
Daniel Mondot, Apr 01 2025
2025-04-06T23:06:36
oeisdata/seq/A382/A382632.seq
1bac7ad9bbd88b8b8a7a81fc4aa8f8d4
A382633
a(n) is the least k such that there are exactly n numbers i < k such that phi(i) divides phi(k-i), where phi = A000010.
[ "1", "2", "3", "6", "7", "9", "10", "13", "16", "18", "20", "25", "34", "33", "40", "45", "44", "56", "66", "49", "63", "97", "80", "88", "92", "111", "129", "112", "100", "136", "135", "161", "160", "170", "176", "217", "165", "200", "224", "230", "208", "245", "242", "306", "255", "273", "319", "297", "391", "330", "399", "368", "442", "325", "425", "500", "380", "517", "416", "615", "495", "560", "484", "627", "460", "594" ]
[ "nonn" ]
13
0
2
[ "A000010", "A070547", "A382633" ]
null
Robert Israel, Apr 01 2025
2025-04-03T02:54:01
oeisdata/seq/A382/A382633.seq
71f3cb1d691fa65f68cac3f83bf8adc6
A382634
Decimal expansion of the multiple prime zeta value p[2, 3].
[ "0", "2", "9", "1", "8", "5", "1", "6", "6", "5", "0", "4", "0", "1", "2", "5", "7", "1", "0", "4", "0", "6", "4", "1", "3", "4", "4", "0", "9", "0", "2", "7", "9", "1", "9", "6", "7", "4", "7" ]
[ "nonn", "cons", "more" ]
29
0
2
[ "A085541", "A085548", "A085965", "A258986", "A382234", "A382235", "A382236", "A382634", "A382635" ]
null
Artur Jasinski, Apr 01 2025
2025-04-27T00:45:31
oeisdata/seq/A382/A382634.seq
75c9129939ec2be5b08fb11d5f5db0b5
A382635
Decimal expansion of the multiple prime zeta value p[3, 2].
[ "0", "1", "4", "0", "9", "5", "7", "6", "8", "7", "5", "4", "8", "0", "3", "8", "3", "3", "5", "1", "2", "7", "2", "0", "3", "1", "3", "5", "9", "9", "8", "7", "9", "9", "7", "4", "8", "8", "5" ]
[ "nonn", "cons", "more" ]
29
0
3
[ "A085541", "A085548", "A085965", "A258983", "A382234", "A382235", "A382236", "A382634", "A382635" ]
null
Artur Jasinski, Apr 01 2025
2025-04-27T00:37:29
oeisdata/seq/A382/A382635.seq
7cf1ec7e2e557a77a623bf89a6f3f3b2
A382636
Decimal expansion of the multiple prime zeta value p[2, 1].
[ "1", "5", "2", "6", "6", "1", "4", "1", "1", "2", "5", "4", "2" ]
[ "nonn", "cons", "more" ]
21
0
2
[ "A085541", "A085548", "A085965", "A382234", "A382235", "A382236", "A382634", "A382635", "A382636", "A382637" ]
null
Artur Jasinski, Apr 07 2025
2025-04-27T00:46:34
oeisdata/seq/A382/A382636.seq
4055e24cf5b534d82b34a2003e5ef1a2
A382637
Decimal expansion of the multiple prime zeta value p[3, 1].
[ "0", "3", "0", "5", "3", "1", "1", "6", "4", "0", "5", "7", "9", "4" ]
[ "nonn", "cons", "more" ]
17
0
2
[ "A085541", "A085548", "A085965", "A382234", "A382235", "A382236", "A382634", "A382635", "A382636", "A382637", "A383432" ]
null
Artur Jasinski, Apr 27 2025
2025-05-03T21:56:20
oeisdata/seq/A382/A382637.seq
125aa72bf1a782e223b3f6688585b7e0
A382638
Numbers k for which the repeating part with leading 0's of 1/k in decimal is a palindrome and longer than one digit.
[ "1616", "14208", "16160", "17472", "142080", "161600", "174720", "454656", "511488", "838656", "1363968", "1420800", "1578125", "1616000", "1747200", "1818624", "1900992", "4091904", "4265625", "4546560", "4734375", "5114880", "8183808", "8386560", "13639680", "14208000", "15781250", "16160000", "17472000", "18186240", "19009920" ]
[ "base", "nonn" ]
42
1
1
[ "A060283", "A060284", "A382176", "A382638" ]
null
Jean-Marc Rebert, Apr 01 2025
2025-04-27T09:07:54
oeisdata/seq/A382/A382638.seq
dcc3a3e71ad1f103426c75b6e5657652
A382639
Initial members of prime 16-tuples containing two prime octuplets at minimum distance.
[ "10458834002271815117", "26476006821087640697", "44350865905809142637", "54014646858393564377", "62155369550078511587", "253586253591518370557", "304079924911990894547", "423291158347150012877", "511505988322414165037", "512761727903842750367", "644424770171034352457", "675759858713748355427" ]
[ "nonn" ]
11
1
1
[ "A022012", "A382639" ]
null
Federico Salas, Apr 01 2025
2025-04-08T12:23:45
oeisdata/seq/A382/A382639.seq
d5fc23894c66b436847d00e97d9f8a1a
A382640
a(n) = 90*binomial(n,6) + 90*binomial(n,5) + 54*binomial(n,4) + 24*binomial(n,3) + 9*binomial(n,2) + 3*n + 1.
[ "1", "4", "16", "61", "217", "706", "2074", "5461", "12961", "28072", "56236", "105469", "187081", "316486", "514102", "806341", "1226689", "1816876", "2628136", "3722557", "5174521", "7072234", "9519346", "12636661", "16563937", "21461776", "27513604", "34927741", "43939561", "54813742", "67846606", "83368549", "101746561" ]
[ "nonn", "easy" ]
16
0
2
[ "A382618", "A382640" ]
null
Enrique Navarrete, Apr 01 2025
2025-04-13T21:43:40
oeisdata/seq/A382/A382640.seq
dc847f93a85d1d95c33dfc6c3e2b42c4
A382641
a(n) = round(c^n), where c is the supergolden ratio A092526.
[ "1", "1", "2", "3", "5", "7", "10", "15", "21", "31", "46", "67", "98", "144", "211", "309", "453", "664", "973", "1426", "2090", "3063", "4489", "6579", "9642", "14131", "20710", "30352", "44483", "65193", "95545", "140028", "205221", "300766", "440794", "646015", "946781", "1387575", "2033590", "2980371", "4367946", "6401536", "9381907", "13749853" ]
[ "nonn", "easy" ]
17
0
3
[ "A000930", "A001609", "A092526", "A169985", "A205579", "A382641" ]
null
Jwalin Bhatt, Apr 01 2025
2025-04-02T05:06:35
oeisdata/seq/A382/A382641.seq
38c44eaaf6b03e5e086ab307ff4d6a9f
A382642
a(n) = Sum_{k=0..n} (binomial(n,k) * binomial(n+k,k))^2 * 2^(n-k).
[ "1", "6", "112", "2784", "79716", "2478936", "81369856", "2774798592", "97345792804", "3490750940376", "127377525333312", "4714499194430592", "176563416839871504", "6678628406445775968", "254781841509308692992", "9791397137378344986624", "378713818451270226094884", "14731112080159997036570328" ]
[ "nonn" ]
19
0
2
[ "A001850", "A005259", "A069835", "A382405", "A382642" ]
null
Ilya Gutkovskiy, Apr 08 2025
2025-04-10T03:25:19
oeisdata/seq/A382/A382642.seq
10e0619915500d1e508b58a596c1a485
A382643
Expansion of e.g.f. exp( x/(1-3*x)^(4/3) ).
[ "1", "1", "9", "109", "1697", "32401", "733081", "19167709", "568351169", "18833921857", "689436160361", "27616959669421", "1201138514382049", "56349982190989969", "2835621797645900537", "152321976433436677981", "8697876904012444443521", "526015632425455532060929", "33581536744768011688139209" ]
[ "nonn", "easy" ]
26
0
3
[ "A362188", "A362205", "A382643", "A382652" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-17T03:53:22
oeisdata/seq/A382/A382643.seq
692293abd4321940723bbd4fdbd23dd4
A382644
Number of king permutations on n elements not beginning with the smallest element.
[ "1", "0", "0", "0", "2", "12", "78", "568", "4674", "42948", "436358", "4860432", "58918602", "772364956", "10889141262", "164314043112", "2642564012498", "45124893118068", "815444024669334", "15547394518030528", "311913179428480218", "6568416226627210572", "144868131187935525662", "3339555055674217441176", "80315570986097045133282" ]
[ "nonn", "easy" ]
28
0
5
[ "A001266", "A002464", "A382644", "A382645" ]
null
Dan Li, Apr 01 2025
2025-04-15T15:19:14
oeisdata/seq/A382/A382644.seq
92acbb6f2b1efb03dfd0d38de64c1fce
A382645
Number of king permutations on n elements not beginning with the smallest element and not ending with the largest element.
[ "1", "0", "0", "0", "2", "10", "68", "500", "4174", "38774", "397584", "4462848", "54455754", "717909202", "10171232060", "154142811052", "2488421201446", "42636471916622", "772807552752712", "14774586965277816", "297138592463202402", "6271277634164008170", "138596853553771517492", "3200958202120445923684", "77114612783976599209598" ]
[ "nonn" ]
23
0
5
[ "A002464", "A382644", "A382645" ]
null
Dan Li, Apr 01 2025
2025-04-09T21:15:07
oeisdata/seq/A382/A382645.seq
84f0cd6499d80f32d0ffeb2236397c02
A382646
Numbers k such that (k*2^d - 1)*(d*2^k - 1) is semiprime for some divisor d of k.
[ "2", "3", "6", "7", "12", "18", "19", "21", "30", "31", "42", "60", "75", "81", "115", "123", "126", "132", "133", "225", "249", "306", "324", "362", "384", "462", "468", "512", "606", "607", "612", "751", "822", "1279", "2170", "2202", "2281", "5312", "7755", "9531", "12379", "14898", "15822", "18123", "18819", "18885", "22971", "23005", "23208", "41628", "44497", "51384", "52540", "98726" ]
[ "nonn" ]
28
1
1
[ "A001358", "A002234", "A003261", "A382646", "A382887" ]
null
Juri-Stepan Gerasimov, Apr 01 2025
2025-04-16T05:31:18
oeisdata/seq/A382/A382646.seq
00c17a57c0cb5618f05f65d6c8e88dc8
A382647
Expansion of 1/(1 - x*(1 + 4*x)^(1/2))^2.
[ "1", "2", "7", "12", "37", "50", "187", "128", "1057", "-502", "7679", "-14420", "73453", "-212554", "843019", "-2848064", "10602409", "-37875706", "139533151", "-510006524", "1885309253", "-6974175142", "25940881947", "-96731191728", "361980829841", "-1358121976978", "5109416286295", "-19267391982612" ]
[ "sign", "easy" ]
11
0
2
[ "A382539", "A382647", "A382649" ]
null
Seiichi Manyama, Apr 02 2025
2025-05-16T19:28:50
oeisdata/seq/A382/A382647.seq
4e48c1e7ea3c71cc2c5ade98d99c3bae
A382648
Expansion of 1/(1 - x*(1 + 4*x)^(1/2))^3.
[ "1", "3", "12", "28", "87", "171", "522", "810", "2985", "2583", "18528", "-5244", "141875", "-241815", "1393314", "-3905782", "16326069", "-54884079", "209607744", "-752322624", "2812050471", "-10351091321", "38636724474", "-143916146094", "539225694641", "-2023036045635", "7615213571172", "-28722320569796", "108591659035131" ]
[ "sign", "easy" ]
12
0
2
[ "A382540", "A382648", "A382650" ]
null
Seiichi Manyama, Apr 02 2025
2025-05-16T19:29:11
oeisdata/seq/A382/A382648.seq
a079cd18819ff32c5ad8918d475802e9
A382649
Expansion of 1/(1 - x*(1 + 4*x)^(3/2))^2.
[ "1", "2", "15", "52", "213", "834", "3043", "11576", "41601", "152458", "544039", "1950132", "6895773", "24403302", "85542339", "300101048", "1044436937", "3639851814", "12594713911", "43660404108", "150357976533", "518991977194", "1780132570723", "6122965091976", "20928650616113", "71779065646510", "244590689773839" ]
[ "sign", "easy" ]
13
0
2
[ "A382536", "A382649", "A382650" ]
null
Seiichi Manyama, Apr 02 2025
2025-05-16T19:29:00
oeisdata/seq/A382/A382649.seq
0f99299df9597eed48330127f742509f
A382650
Expansion of 1/(1 - x*(1 + 4*x)^(3/2))^3.
[ "1", "3", "24", "100", "471", "2043", "8422", "34818", "137649", "543655", "2096508", "8031948", "30355155", "113929497", "423562614", "1565841650", "5745557853", "20989365057", "76206968356", "275721399480", "992423144247", "3562075121911", "12728422443654", "45379998032202", "161158522838105", "571293893581389" ]
[ "sign", "easy" ]
8
0
2
[ "A382536", "A382649", "A382650" ]
null
Seiichi Manyama, Apr 02 2025
2025-04-02T09:44:35
oeisdata/seq/A382/A382650.seq
6b8b6511f7bcda1c8ac088e061e9aa09
A382651
Number of king permutations on n elements without strict fixed points.
[ "1", "0", "0", "0", "2", "10", "68", "500", "4174", "38770", "397544", "4462476", "54452394", "717877882", "10170925492", "154139627692", "2488385952526", "42636054584106", "772802263942376", "14774515232543556", "297137552306148570", "6271261537872652418", "138596588342412866276", "3200953561821628327956", "77114526810424117688014" ]
[ "nonn" ]
20
0
5
[ "A002464", "A382644", "A382645", "A382651" ]
null
Dan Li, Apr 02 2025
2025-04-09T21:14:12
oeisdata/seq/A382/A382651.seq
245c34abd8fd58963bbaaa816bf17d89
A382652
Expansion of e.g.f. exp( x/(1-3*x)^(5/3) ).
[ "1", "1", "11", "151", "2601", "54401", "1341571", "38115351", "1225252561", "43935295681", "1737463744251", "75075845199191", "3517448555579641", "177538212306653121", "9600694935999031411", "553606933661659742551", "33899768045328467219361", "2196417680635853609034881", "150094038119761737476004331" ]
[ "nonn", "easy" ]
24
0
3
[ "A362188", "A362205", "A382643", "A382652" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-19T05:44:17
oeisdata/seq/A382/A382652.seq
eb129e4bdaae0bca686df1f68c1c0421
A382653
Numbers k such that a regular k-gon (k>=3) cannot be constructed with a compass, straightedge and an angle quinsector.
[ "7", "9", "13", "14", "18", "19", "21", "23", "26", "27", "28", "29", "31", "35", "36", "37", "38", "39", "42", "43", "45", "46", "47", "49", "52", "53", "54", "56", "57", "58", "59", "61", "62", "63", "65", "67", "69", "70", "71", "72", "73", "74", "76", "77", "78", "79", "81", "83", "84", "86", "87", "89", "90", "91", "92", "93", "94", "95", "97", "98", "99", "103", "104", "105", "106" ]
[ "nonn" ]
21
1
1
[ "A048135", "A048136", "A382653", "A382670" ]
null
Chai Wah Wu, Apr 02 2025
2025-04-03T14:13:16
oeisdata/seq/A382/A382653.seq
9f68addab77877a88b596f013d236414
A382654
a(1) = 1, for n > 1, a(n) = a(n - 1) / 2 if a(n - 1) is divisible by 2, otherwise a(n) = a(n - 1) + (first digit of (a(n - 1) + (n - 1))).
[ "1", "3", "8", "4", "2", "1", "8", "4", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "2", "1", "3", "5", "7", "10", "5", "8", "4", "2", "1", "4", "2", "1", "4", "2", "1", "4", "2", "1", "4", "2", "1", "5", "9", "14", "7", "12", "6", "3", "8", "4", "2", "1", "6", "3", "8", "4", "2", "1", "6", "3", "9", "16", "8", "4", "2", "1", "7", "14", "7", "14", "7", "14", "7", "15", "23", "32", "16", "8", "4", "2", "1", "9", "18" ]
[ "nonn", "base", "less" ]
43
1
2
[ "A000030", "A382654" ]
null
Ctibor O. Zizka, Apr 12 2025
2025-04-13T16:19:26
oeisdata/seq/A382/A382654.seq
6a77e3b0a7d10a46cfa16347586c3889
A382655
Lexicographically earliest sequence of distinct positive integers such that if m = a(n-1), a(n) is the smallest novel number k such that: g = gcd(m, k) > 1, m/g > 1, k/g >1 and gcd(m/g, k) = gcd(k/g, m) = 1.
[ "6", "10", "14", "18", "22", "26", "30", "21", "12", "15", "20", "28", "35", "40", "24", "33", "39", "42", "34", "38", "46", "50", "54", "58", "62", "66", "51", "48", "57", "60", "44", "36", "45", "55", "65", "52", "68", "76", "84", "69", "75", "78", "70", "63", "56", "72", "88", "77", "91", "104", "117", "90", "74", "82", "86", "94", "98", "102", "85", "80", "95", "105", "87", "93", "96" ]
[ "nonn" ]
17
1
1
[ "A001694", "A013929", "A024619", "A382655" ]
null
David James Sycamore, Apr 01 2025
2025-04-14T05:36:01
oeisdata/seq/A382/A382655.seq
507853bd505b9e8fc8b1558e50480184
A382656
a(n) = L(2*n+1)+4*n+2.
[ "3", "10", "21", "43", "94", "221", "547", "1394", "3605", "9387", "24518", "64125", "167811", "439258", "1149909", "3010411", "7881262", "20633309", "54018595", "141422402", "370248533", "969323115", "2537720726", "6643838973", "17393796099", "45537549226", "119218851477", "312119005099", "817138163710", "2139295485917" ]
[ "nonn", "easy" ]
15
0
1
[ "A000032", "A000204", "A002878", "A016825", "A382656" ]
null
Eric W. Weisstein, Apr 02 2025
2025-04-02T15:16:31
oeisdata/seq/A382/A382656.seq
7f1c5c3d1c53a525aa026fffb7a29860
A382657
Number of minimum total dominating sets in the n-Goldberg graph.
[ "16", "277", "10", "2386", "28", "33301", "360", "10", "4334", "60", "67288", "728", "10", "9856", "102", "150750", "1292", "10", "19222", "154", "299368", "2124", "10", "34112", "216", "549276", "3306", "10", "56730", "288", "951456", "4930", "10", "89916", "370", "1576202", "7098", "10", "137268", "462", "2518596", "9922", "10", "203274", "564", "3905148", "13524", "10" ]
[ "nonn", "easy" ]
20
3
1
[ "A382431", "A382657" ]
null
Eric W. Weisstein, Apr 02 2025
2025-05-28T00:53:35
oeisdata/seq/A382/A382657.seq
18623ebab50bd7d3238fefac838ccfe1
A382658
Number of forknesses on n elements.
[ "1", "2", "6", "56", "15026", "1746994454", "1235642810043131384", "40822119528659637193235146998172", "374299843632760183014518932671883409448485124695664", "7237131063359733682672812567239149471890797777405500679038631641915376539420" ]
[ "nonn" ]
25
0
2
null
null
Tobias Boege, Apr 02 2025
2025-04-10T08:49:25
oeisdata/seq/A382/A382658.seq
07c7fc9d820361c1abce861e8d51753f
A382659
Numbers k such that k < A053669(k)^2 * A380539(k), i.e., k < A382248(k).
[ "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "14", "15", "16", "18", "20", "22", "24", "26", "28", "30", "32", "34", "36", "38", "40", "42", "44", "48", "50", "54", "60", "66", "70", "72", "78", "84", "90", "96", "102", "108", "114", "120", "126", "132", "138", "144", "150", "156", "162", "168", "174", "180", "210", "240", "252", "270", "300", "330", "360", "390" ]
[ "nonn", "easy", "fini", "full" ]
17
1
2
[ "A048597", "A051250", "A053669", "A126706", "A303554", "A380539", "A382248", "A382659", "A382960" ]
null
Michael De Vlieger, Apr 14 2025
2025-04-19T18:06:42
oeisdata/seq/A382/A382659.seq
e77bb854f3c2e39c4f207b60cdf13c2d
A382660
The unitary totient function applied to the exponentially odd numbers (A268335).
[ "1", "1", "2", "4", "2", "6", "7", "4", "10", "12", "6", "8", "16", "18", "12", "10", "22", "14", "12", "26", "28", "8", "30", "31", "20", "16", "24", "36", "18", "24", "28", "40", "12", "42", "22", "46", "32", "52", "26", "40", "42", "36", "28", "58", "60", "30", "48", "20", "66", "44", "24", "70", "72", "36", "60", "24", "78", "40", "82", "64", "42", "56", "70", "88", "72", "60", "46", "72" ]
[ "nonn", "easy" ]
8
1
3
[ "A013662", "A047994", "A065463", "A268335", "A358346", "A363825", "A366438", "A366439", "A366534", "A366535", "A367417", "A368711", "A368979", "A374456", "A382660", "A382661" ]
null
Amiram Eldar, Apr 02 2025
2025-04-02T12:43:50
oeisdata/seq/A382/A382660.seq
fc7a1f24438022afa008f6c5b062561b
A382661
The unitary Jordan totient function applied to the exponentially odd numbers (A268335).
[ "1", "3", "8", "24", "24", "48", "63", "72", "120", "168", "144", "192", "288", "360", "384", "360", "528", "504", "504", "728", "840", "576", "960", "1023", "960", "864", "1152", "1368", "1080", "1344", "1512", "1680", "1152", "1848", "1584", "2208", "2304", "2808", "2184", "2880", "3024", "2880", "2520", "3480", "3720", "2880", "4032", "2880", "4488", "4224" ]
[ "nonn", "easy" ]
7
1
2
[ "A013664", "A065463", "A191414", "A268335", "A358346", "A363825", "A366438", "A366439", "A366534", "A366535", "A367417", "A368711", "A368979", "A374456", "A382660", "A382661" ]
null
Amiram Eldar, Apr 02 2025
2025-04-02T12:43:45
oeisdata/seq/A382/A382661.seq
589c316713c3e7f52a94119c741fc480
A382662
The unitary totient function applied to the cubefree numbers (A004709).
[ "1", "1", "2", "3", "4", "2", "6", "8", "4", "10", "6", "12", "6", "8", "16", "8", "18", "12", "12", "10", "22", "24", "12", "18", "28", "8", "30", "20", "16", "24", "24", "36", "18", "24", "40", "12", "42", "30", "32", "22", "46", "48", "24", "32", "36", "52", "40", "36", "28", "58", "24", "60", "30", "48", "48", "20", "66", "48", "44", "24", "70", "72", "36", "48", "54", "60", "24", "78", "40" ]
[ "nonn", "easy" ]
7
1
3
[ "A002117", "A004709", "A047994", "A366440", "A366536", "A366537", "A368712", "A368779", "A369889", "A376365", "A376366", "A379717", "A382419", "A382662", "A382663" ]
null
Amiram Eldar, Apr 02 2025
2025-04-02T12:44:01
oeisdata/seq/A382/A382662.seq
f67e591cb713c3b7638d66891674b7d5
A382663
The unitary Jordan totient function applied to the cubefree numbers (A004709).
[ "1", "3", "8", "15", "24", "24", "48", "80", "72", "120", "120", "168", "144", "192", "288", "240", "360", "360", "384", "360", "528", "624", "504", "720", "840", "576", "960", "960", "864", "1152", "1200", "1368", "1080", "1344", "1680", "1152", "1848", "1800", "1920", "1584", "2208", "2400", "1872", "2304", "2520", "2808", "2880", "2880", "2520", "3480", "2880" ]
[ "nonn", "easy" ]
8
1
2
[ "A002117", "A004709", "A191414", "A366440", "A366536", "A366537", "A368712", "A368779", "A369889", "A376365", "A376366", "A379717", "A382419", "A382662", "A382663" ]
null
Amiram Eldar, Apr 02 2025
2025-04-02T12:43:56
oeisdata/seq/A382/A382663.seq
ffea2806de2952c9039ace51b2976ffd
A382664
Partial sums of the exponentially odd numbers (A268335).
[ "1", "3", "6", "11", "17", "24", "32", "42", "53", "66", "80", "95", "112", "131", "152", "174", "197", "221", "247", "274", "303", "333", "364", "396", "429", "463", "498", "535", "573", "612", "652", "693", "735", "778", "824", "871", "922", "975", "1029", "1084", "1140", "1197", "1255", "1314", "1375", "1437", "1502", "1568", "1635", "1704", "1774", "1845", "1918" ]
[ "nonn", "easy" ]
7
1
2
[ "A065489", "A173143", "A174172", "A268335", "A358038", "A362971", "A382664" ]
null
Amiram Eldar, Apr 02 2025
2025-04-02T12:44:15
oeisdata/seq/A382/A382664.seq
2dc49cbbd18b01d913f8930bdd4b9616
A382665
Number of distinct degree sequences among all connected simple graphs with n vertices whose degrees are consecutive integers.
[ "1", "1", "1", "2", "5", "14", "35", "88", "212", "492", "1122" ]
[ "nonn", "more" ]
9
0
4
[ "A001349", "A381765", "A382021", "A382665" ]
null
John P. McSorley, Apr 02 2025
2025-04-09T22:54:37
oeisdata/seq/A382/A382665.seq
7a247ef440d2b4ce97bd841258034b32
A382666
Smallest k such that 7^(7^n) - k is prime.
[ "2", "2", "6", "512", "3918", "48966" ]
[ "nonn", "hard", "more" ]
40
0
1
[ "A058220", "A140331", "A364452", "A364453", "A364454", "A382666" ]
null
J.W.L. (Jan) Eerland, Apr 08 2025
2025-05-04T23:44:00
oeisdata/seq/A382/A382666.seq
71a366c713bd35b5ccee61fd94596512
A382667
Position of the first instance of prime(n), in base 2, in the binary representation of Pi after the binary point.
[ "3", "11", "16", "11", "16", "15", "25", "60", "91", "14", "11", "126", "58", "393", "207", "18", "14", "13", "6", "180", "141", "169", "58", "243", "47", "326", "168", "475", "15", "291", "451", "108", "64", "87", "327", "421", "358", "41", "356", "468", "343", "16", "618", "107", "80", "179", "57", "206", "291", "325", "361", "205", "427", "12", "95", "108", "436", "6", "996" ]
[ "nonn", "base" ]
55
1
1
[ "A000040", "A004601", "A178707", "A233836", "A378472", "A382307", "A382667" ]
null
James S. DeArmon, Apr 02 2025
2025-04-27T08:00:23
oeisdata/seq/A382/A382667.seq
76bb336b4bce43a6b4ab7dd2c7e00d8d
A382668
a(n) = C(n+1) - C(n-1) - 2*C(n-2) where C(n) = A000108(n) are the Catalan numbers.
[ "2", "10", "33", "108", "359", "1214", "4169", "14508", "51064", "181492", "650522", "2348856", "8535921", "31197430", "114601065", "422891340", "1566903060", "5827192140", "21743726430", "81383916840", "305465105790", "1149489049644", "4335921660522", "16391329697528", "62091796219904", "235656705875304" ]
[ "nonn", "easy" ]
22
2
1
[ "A000108", "A026012", "A280891", "A382668" ]
null
F. Chapoton, Apr 02 2025
2025-04-05T10:53:25
oeisdata/seq/A382/A382668.seq
761286169c5b5e1679b0096646bc9d48
A382669
Even numbers m such that both p = m^2 + 1 and q = (p^2 + 1)/2 are primes.
[ "2", "10", "150", "160", "230", "270", "400", "890", "910", "920", "1060", "1430", "1550", "1970", "2700", "2960", "3280", "3290", "3520", "3660", "4140", "4330", "4510", "4700", "4780", "4850", "4920", "5180", "5360", "5500", "5560", "5620", "5880", "5960", "6220", "6460", "6980", "7160", "7190", "7520", "7550", "7820", "9630", "9760", "9900" ]
[ "nonn" ]
35
1
1
[ "A002522", "A005574", "A048161", "A382669" ]
null
Ya-Ping Lu, Apr 24 2025
2025-05-02T11:29:44
oeisdata/seq/A382/A382669.seq
9eece4b192664ee8a44cb4b5e0b06b91
A382670
Numbers k such that a regular k-gon (k>=3) can be constructed with a compass, straightedge and an angle quinsector.
[ "3", "4", "5", "6", "8", "10", "11", "12", "15", "16", "17", "20", "22", "24", "25", "30", "32", "33", "34", "40", "41", "44", "48", "50", "51", "55", "60", "64", "66", "68", "75", "80", "82", "85", "88", "96", "100", "101", "102", "110", "120", "123", "125", "128", "132", "136", "150", "160", "164", "165", "170", "176", "187", "192", "200", "202", "204", "205", "220", "240" ]
[ "nonn" ]
15
1
1
[ "A048135", "A048136", "A382653", "A382670" ]
null
Chai Wah Wu, Apr 02 2025
2025-04-03T14:57:38
oeisdata/seq/A382/A382670.seq
a2318b2634e179292df8c9aa2665a5c4
A382671
a(1) = 1 and thereafter a(n) = a(n-1) + j(n-1) where j(1) = 1 and then j(n) = j(n-1)-1 if a(n) is composite or j(n) = 2*j(n-1) if a(n) is prime.
[ "1", "2", "4", "5", "7", "11", "19", "35", "50", "64", "77", "89", "113", "161", "208", "254", "299", "343", "386", "428", "469", "509", "589", "668", "746", "823", "977", "1285", "1592", "1898", "2203", "2813", "3422", "4030", "4637", "5851", "8279", "10706", "13132", "15557", "17981", "22829", "27676", "32522", "37367", "42211", "47054", "51896", "56737", "66419", "76100", "85780", "95459" ]
[ "nonn" ]
26
1
2
null
null
Alexander Markovsky, Apr 02 2025
2025-04-12T09:42:40
oeisdata/seq/A382/A382671.seq
2337913574e4561747e3944e1f1cf919
A382672
Number of integer solutions to Product_{k=1..n} (3 + c(k)) = 3 * Product_{k=1..n} c(k) with 0 < c(k) <= c(k+1).
[ "0", "2", "17", "450", "35472", "12127741" ]
[ "nonn", "more" ]
15
1
2
[ "A263207", "A375787", "A380749", "A381644", "A382672" ]
null
Zhining Yang, Apr 03 2025
2025-04-08T18:20:15
oeisdata/seq/A382/A382672.seq
88def5aa16077b2fc2e840f01bdcfa77
A382673
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] exp(x+y) / (exp(x) + exp(y) - exp(x+y))^3.
[ "1", "1", "1", "1", "4", "1", "1", "10", "10", "1", "1", "22", "52", "22", "1", "1", "46", "208", "208", "46", "1", "1", "94", "736", "1372", "736", "94", "1", "1", "190", "2440", "7516", "7516", "2440", "190", "1", "1", "382", "7792", "37012", "60316", "37012", "7792", "382", "1", "1", "766", "24328", "170668", "418996", "418996", "170668", "24328", "766", "1", "1", "1534", "74896", "754132", "2653036", "3964684", "2653036", "754132", "74896", "1534", "1" ]
[ "nonn", "tabl" ]
21
0
5
[ "A000012", "A033484", "A099594", "A136126", "A382673", "A382674", "A382675", "A382676", "A382735" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-06T03:48:13
oeisdata/seq/A382/A382673.seq
23354fca3cc49c9ec1dc13ea6285392a
A382674
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] exp(x+y) / (exp(x) + exp(y) - exp(x+y))^4.
[ "1", "1", "1", "1", "5", "1", "1", "13", "13", "1", "1", "29", "77", "29", "1", "1", "61", "325", "325", "61", "1", "1", "125", "1181", "2357", "1181", "125", "1", "1", "253", "3973", "13621", "13621", "3973", "253", "1", "1", "509", "12797", "69269", "118061", "69269", "12797", "509", "1", "1", "1021", "40165", "326005", "862261", "862261", "326005", "40165", "1021", "1" ]
[ "nonn", "tabl" ]
17
0
5
[ "A000012", "A036563", "A099594", "A136126", "A382673", "A382674", "A382677", "A382678", "A382736" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-06T03:48:28
oeisdata/seq/A382/A382674.seq
aff40cb5b0bdae8cc1da5d38283745a4
A382675
a(n) = 4 - 15 * 2^n + 12 * 3^n.
[ "1", "10", "52", "208", "736", "2440", "7792", "24328", "74896", "228520", "693232", "2095048", "6315856", "19009000", "57149872", "171695368", "515577616", "1547715880", "4645113712", "13939273288", "41825684176", "125492781160", "376509800752", "1129592316808", "3388902779536", "10166959996840" ]
[ "nonn", "easy" ]
6
0
2
[ "A382673", "A382675" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-03T08:58:59
oeisdata/seq/A382/A382675.seq
a62d8b54035140dc5792dbee28c373ac
A382676
a(n) = Sum_{k=0..n} (k!)^2 * binomial(k+2,2) * Stirling2(n+1,k+1)^2.
[ "1", "4", "52", "1372", "60316", "3964684", "363503932", "44280657292", "6913081723516", "1345238707327564", "319137578070718012", "90648956570718822412", "30369040605677566161916", "11848724306426305222109644", "5325560174867275152102351292", "2731649923185995549312271694732" ]
[ "nonn" ]
12
0
2
[ "A048163", "A092552", "A382673", "A382676", "A382678" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-04T06:31:29
oeisdata/seq/A382/A382676.seq
c15e7ef4fa94aae3a7f86c31da9b4b89
A382677
a(n) = 9 - 28 * 2^n + 20 * 3^n.
[ "1", "13", "77", "325", "1181", "3973", "12797", "40165", "124061", "379333", "1152317", "3485605", "10514141", "31657093", "95200637", "286060645", "859099421", "2579133253", "7741069757", "23230549285", "69706327901", "209148343813", "627503751677", "1882628695525", "5648120967581", "16944832664773" ]
[ "nonn", "easy" ]
7
0
2
[ "A382674", "A382677" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-03T08:58:46
oeisdata/seq/A382/A382677.seq
b078895739c2fdddd175d19cc140bb38
A382678
a(n) = Sum_{k=0..n} (k!)^2 * binomial(k+3,3) * Stirling2(n+1,k+1)^2.
[ "1", "5", "77", "2357", "118061", "8712245", "886143917", "118592620277", "20176999414061", "4249819031692085", "1084956766012858157", "329975948760472311797", "117851658189070970988461", "48830366210401091606537525", "23228207308210113849419226797", "12571433948267218576823401692917" ]
[ "nonn" ]
10
0
2
[ "A048163", "A092552", "A382674", "A382676", "A382678" ]
null
Seiichi Manyama, Apr 03 2025
2025-04-04T06:21:37
oeisdata/seq/A382/A382678.seq
7e88e72e054040cb5313c6f02027c968
A382679
a(n) = A381968(A380817(n)).
[ "1", "5", "3", "4", "2", "6", "14", "10", "12", "8", "11", "9", "13", "7", "15", "27", "21", "25", "19", "23", "17", "22", "20", "24", "18", "26", "16", "28", "44", "36", "42", "34", "40", "32", "38", "30", "37", "35", "39", "33", "41", "31", "43", "29", "45", "65", "55", "63", "53", "61", "51", "59", "49", "57", "47", "56", "54", "58", "52", "60", "50", "62", "48", "64", "46", "66" ]
[ "nonn", "tabf" ]
14
1
2
[ "A000027", "A000384", "A016813", "A056023", "A376214", "A378684", "A378762", "A379342", "A379343", "A380200", "A380245", "A380815", "A380817", "A381662", "A381663", "A381664", "A381968", "A382679", "A382680", "A383419", "A383589", "A383590", "A383722", "A383723", "A383724" ]
null
Boris Putievskiy, Apr 03 2025
2025-05-30T23:30:39
oeisdata/seq/A382/A382679.seq
7ebc063c67a4bf3207754a6f4a4b2eae
A382680
a(n) = A382499(A380817(n)).
[ "1", "5", "3", "4", "2", "6", "12", "10", "14", "8", "11", "7", "13", "9", "15", "23", "21", "25", "19", "27", "17", "22", "16", "24", "18", "26", "20", "28", "38", "36", "40", "34", "42", "32", "44", "30", "37", "29", "39", "31", "41", "33", "43", "35", "45", "57", "55", "59", "53", "61", "51", "63", "49", "65", "47", "56", "46", "58", "48", "60", "50", "62", "52", "64", "54", "66" ]
[ "nonn", "tabf" ]
18
1
2
[ "A000027", "A000384", "A016813", "A056023", "A376214", "A378684", "A378762", "A379342", "A379343", "A380200", "A380245", "A380815", "A380817", "A381662", "A381663", "A381664", "A381968", "A382499", "A382679", "A382680", "A383419", "A383589", "A383590", "A383722", "A383723", "A383724" ]
null
Boris Putievskiy, Apr 03 2025
2025-06-08T21:42:35
oeisdata/seq/A382/A382680.seq
387f4771977310ea0a285718e7535c4b
A382681
Conjecturally, the numbers k (not multiples of 5) such that for all x >= 0, k*2^x has a '0' in its decimal expansion.
[ "7501221", "7508793", "10006109", "10625334", "12970254", "15002442", "15017586", "15685077", "17975049", "20012218", "20752359", "21250668", "22500771", "23501007", "24625029", "24875024", "25033207", "25034183", "25034771", "25940508", "29003907", "29057504", "29450021", "29590047", "29625044", "29850293", "30004884", "30035172", "30175941" ]
[ "nonn", "base" ]
25
1
1
[ "A007377", "A027870", "A130694", "A382681" ]
null
Brian Kehrig, Jun 02 2025
2025-06-12T00:52:17
oeisdata/seq/A382/A382681.seq
6b870392ff14444b42eaffc066087da0
A382682
Number of integer partitions of n with origin-to-boundary graph-distance equal to 3.
[ "0", "0", "0", "0", "0", "0", "1", "4", "8", "15", "23", "32", "43", "54", "67", "82", "97", "114", "133", "152", "173", "196", "219", "244", "271", "298", "327", "358", "389", "422", "457", "492", "529", "568", "607", "648", "691", "734", "779", "826", "873", "922", "973", "1024", "1077", "1132", "1187", "1244", "1303", "1362", "1423", "1486", "1549", "1614", "1681", "1748", "1817", "1888", "1959" ]
[ "nonn", "easy" ]
43
0
8
[ "A130130", "A325168", "A325188", "A382682" ]
null
N Guru Sharan, Jun 03 2025
2025-06-24T13:45:15
oeisdata/seq/A382/A382682.seq
4f68d50961ad6ad7a8b3a7c916605565
A382683
Expansion of (1-x^2) / (1-x-3*x^2+x^3).
[ "1", "1", "3", "5", "13", "25", "59", "121", "273", "577", "1275", "2733", "5981", "12905", "28115", "60849", "132289", "286721", "622739", "1350613", "2932109", "6361209", "13806923", "29958441", "65018001", "141086401", "306181963", "664423165", "1441882653", "3128970185", "6790194979", "14735222881", "31976837633" ]
[ "nonn", "walk", "easy" ]
24
0
3
[ "A000079", "A000244", "A026581", "A087640", "A108411", "A382683", "K4" ]
null
Sean A. Irvine, Jun 02 2025
2025-06-04T17:08:50
oeisdata/seq/A382/A382683.seq
5993a16637be9b8fa73d1255ab8c74b1
A382684
Consecutive internal states of the linear congruential pseudo-random number generator for BCPL when started at 1.
[ "1", "2862137630", "1410400247", "1369397724", "1652384221", "2669374922", "2140954419", "1701427304", "2594835833", "3034226998", "3288120879", "389815220", "357129941", "541493090", "3104757995", "2854522816", "2013295089", "2081295438", "2466720615", "4256030860", "3056739021", "751492090" ]
[ "nonn", "easy" ]
17
1
2
[ "A084277", "A096550", "A096561", "A382684" ]
null
Sean A. Irvine, Jun 02 2025
2025-06-18T23:51:29
oeisdata/seq/A382/A382684.seq
7bb3df286be5dd05c0b11e9702f9bd27
A382685
a(n) is the least integer k requiring any combination of at least n 1's or 2's to build using + and *.
[ "1", "3", "5", "7", "11", "19", "23", "43", "59", "107", "173", "283", "383", "719", "1103", "1439", "3019", "4283", "8563", "14207", "20719", "31667", "52919", "105838", "165749", "290219", "495359", "880799", "1529279", "2417399", "4085639", "6973259" ]
[ "nonn", "more" ]
42
1
2
[ "A005245", "A005520", "A382685" ]
null
Zhining Yang, Jun 02 2025
2025-07-02T16:51:24
oeisdata/seq/A382/A382685.seq
705d6eaa16dab3ea5366c2245470b0a4
A382686
Decimal expansion of the weight factor for Legendre-Gauss quadrature corresponding to abscissa A372272.
[ "3", "6", "0", "7", "6", "1", "5", "7", "3", "0", "4", "8", "1", "3", "8", "6", "0", "7", "5", "6", "9", "8", "3", "3", "5", "1", "3", "8", "3", "7", "7", "1", "6", "1", "1", "1", "6", "6", "1", "5", "2", "1", "8", "9", "2", "7", "4", "6", "7", "4", "5", "4", "8", "2", "2", "8", "9", "7", "3", "9", "2", "4", "0", "2", "3", "7", "1", "4", "0", "0", "3", "7", "8", "3", "7", "2", "6", "1", "7", "1", "8", "3", "2", "0", "9", "6", "2" ]
[ "nonn", "cons" ]
10
0
1
[ "A372272", "A382686" ]
null
A.H.M. Smeets, Apr 03 2025
2025-04-24T16:41:12
oeisdata/seq/A382/A382686.seq
676008a208167d0345c3932c840176ba
A382687
Decimal expansion of the weight factor for Legendre-Gauss quadrature corresponding to abscissa A372273.
[ "1", "7", "1", "3", "2", "4", "4", "9", "2", "3", "7", "9", "1", "7", "0", "3", "4", "5", "0", "4", "0", "2", "9", "6", "1", "4", "2", "1", "7", "2", "7", "3", "2", "8", "9", "3", "5", "2", "6", "8", "2", "2", "5", "0", "1", "4", "8", "4", "0", "4", "3", "9", "8", "2", "3", "9", "8", "6", "3", "5", "4", "3", "9", "7", "9", "8", "9", "4", "5", "7", "6", "0", "5", "4", "2", "3", "4", "0", "1", "5", "4", "6", "4", "7", "9", "2", "7" ]
[ "nonn", "cons" ]
9
0
2
[ "A372273", "A382687" ]
null
A.H.M. Smeets, Apr 03 2025
2025-04-24T16:40:59
oeisdata/seq/A382/A382687.seq
d5f931f37494471fbe2e5944b593ca41
A382688
Decimal expansion of the weight factor for Legendre-Gauss quadrature corresponding to abscissa A372274.
[ "3", "8", "1", "8", "3", "0", "0", "5", "0", "5", "0", "5", "1", "1", "8", "9", "4", "4", "9", "5", "0", "3", "6", "9", "7", "7", "5", "4", "8", "8", "9", "7", "5", "1", "3", "3", "8", "7", "8", "3", "6", "5", "0", "8", "3", "5", "3", "3", "8", "6", "2", "7", "3", "4", "7", "5", "1", "0", "8", "3", "4", "5", "1", "0", "3", "0", "7", "0", "5", "5", "4", "6", "4", "3", "4", "1", "2", "9", "7", "0", "8", "3", "4" ]
[ "nonn", "cons" ]
8
0
1
[ "A372274", "A382688" ]
null
A.H.M. Smeets, Apr 03 2025
2025-04-24T16:41:17
oeisdata/seq/A382/A382688.seq
77102b538a28adf5ad4a8310b0665aab
A382689
Decimal expansion of the weight factor for Legendre-Gauss quadrature corresponding to abscissa A372275.
[ "2", "7", "9", "7", "0", "5", "3", "9", "1", "4", "8", "9", "2", "7", "6", "6", "6", "7", "9", "0", "1", "4", "6", "7", "7", "7", "1", "4", "2", "3", "7", "7", "9", "5", "8", "2", "4", "8", "6", "9", "2", "5", "0", "6", "5", "2", "2", "6", "5", "9", "8", "7", "6", "4", "5", "3", "7", "0", "1", "4", "0", "3", "2", "6", "9", "3", "6", "1", "8", "8", "1", "0", "4", "3", "0", "5", "6", "2", "6", "7", "6", "8", "1", "3", "2", "4", "0" ]
[ "nonn", "cons" ]
8
0
1
[ "A372275", "A382689" ]
null
A.H.M. Smeets, Apr 03 2025
2025-04-24T16:41:24
oeisdata/seq/A382/A382689.seq
82b5dc3441a1d617a71f9e9b68bcc62f
A382690
Decimal expansion of the weight factor for Legendre-Gauss quadrature corresponding to abscissa A372276.
[ "1", "2", "9", "4", "8", "4", "9", "6", "6", "1", "6", "8", "8", "6", "9", "6", "9", "3", "2", "7", "0", "6", "1", "1", "4", "3", "2", "6", "7", "9", "0", "8", "2", "0", "1", "8", "3", "2", "8", "5", "8", "7", "4", "0", "2", "2", "5", "9", "9", "4", "6", "6", "6", "3", "9", "7", "7", "2", "0", "8", "6", "3", "8", "7", "2", "4", "6", "5", "5", "2", "3", "4", "9", "7", "2", "0", "4", "2", "3", "0", "8", "7", "1", "5", "6", "2", "5" ]
[ "nonn", "cons" ]
9
0
2
[ "A372276", "A382690" ]
null
A.H.M. Smeets, Apr 03 2025
2025-05-01T21:41:59
oeisdata/seq/A382/A382690.seq
0a48e135d1b2bb118806798068bfe566
A382691
Alternating sum of the characteristic functions of k-th powers, with k >= 2: characteristic function of squares - c.f. of cubes + c.f. of 4th powers - ... .
[ "0", "0", "0", "1", "0", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "2", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "-1", "0", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "2", "0", "0", "0", "0" ]
[ "sign" ]
24
1
16
[ "A001597", "A010052", "A010057", "A089723", "A259362", "A374016", "A381042", "A382691", "A382692" ]
null
Friedjof Tellkamp, Apr 05 2025
2025-04-22T07:52:36
oeisdata/seq/A382/A382691.seq
8826e557dbfd2eb1a3f3bc1199d5d1e9
A382692
a(n) = floor of alternating sum of k-th roots of n, with k >= 2.
[ "0", "0", "0", "0", "0", "0", "0", "1", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "3", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "4", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "5", "6" ]
[ "nonn" ]
22
0
17
[ "A000196", "A048766", "A178487", "A178489", "A255270", "A381042", "A382691", "A382692" ]
null
Friedjof Tellkamp, Apr 05 2025
2025-04-22T07:53:47
oeisdata/seq/A382/A382692.seq
d059bc9fae3c23caa3ea0634ccd5f136
A382693
Number of dense symmetric binary relations on {1,...,n}.
[ "1", "2", "4", "20", "234", "6308", "374586", "47740076", "12788143462", "7090729971308" ]
[ "nonn", "more" ]
47
0
2
[ "A382693", "A382839" ]
null
Mark Bowron, Apr 03 2025
2025-05-28T01:04:01
oeisdata/seq/A382/A382693.seq
a03ae7299c6e14ab3321e2189e07560c
A382694
Expansion of g.f. exp(Sum_{n>=1} A295438(n)*x^n/n).
[ "1", "42", "2871", "237911", "21862425", "2143052865", "219564220919", "23230203884874", "2518599785053086", "278360576221715553", "31245378300319142280", "3552279132160612518246", "408200655806919057705682", "47335784826964879842829119", "5532281346887930405994060960", "650990818255231425636329295522" ]
[ "nonn" ]
9
0
2
[ "A295438", "A382694" ]
null
Karol A. Penson, Apr 03 2025
2025-04-03T20:40:24
oeisdata/seq/A382/A382694.seq
64c2579f57e81ebf4a8e4a71233302de
A382695
Number of minimum total dominating sets in the n-Hanoi graph.
[ "3", "12", "51", "1056", "1536000", "606930418532352", "4374489334128158137726429035382613999616", "185102732203902439689337302716548387149641795774758138929665845212282586523432979080034900256693930098164987068416" ]
[ "nonn" ]
9
1
1
null
null
Eric W. Weisstein, Apr 03 2025
2025-05-24T01:47:23
oeisdata/seq/A382/A382695.seq
86dcaa24bb6d86710711f7c6938877f1
A382696
Centered pentagonal numbers that are abundant.
[ "276", "456", "1266", "1626", "2176", "2976", "3516", "5406", "6126", "8556", "9456", "12426", "13506", "17016", "18276", "22326", "23766", "28356", "29976", "35106", "36906", "39376", "42576", "44556", "50766", "52926", "59676", "62016", "69306", "71826", "79656", "82356", "89776", "90726", "93606", "94576", "102516", "105576", "115026", "118266", "128256", "131676", "142206", "145806" ]
[ "nonn" ]
10
1
1
[ "A005101", "A005891", "A379264", "A382696" ]
null
Massimo Kofler, Apr 03 2025
2025-04-12T11:58:27
oeisdata/seq/A382/A382696.seq
3c250627befe2eb59604f3dd9d427a11
A382697
Decimal expansion of 195^(1/7).
[ "2", "1", "2", "3", "9", "6", "7", "1", "7", "9", "8", "7", "3", "5", "9", "0", "3", "1", "4", "7", "9", "4", "8", "2", "3", "8", "3", "6", "1", "6", "9", "7", "7", "0", "7", "3", "5", "8", "6", "6", "1", "8", "5", "6", "3", "4", "7", "8", "7", "1", "6", "4", "1", "9", "9", "5", "3", "3", "8", "3", "8", "9", "0", "3", "9", "8", "8", "6", "9", "9", "1", "0", "1", "6", "5", "9", "0", "4", "7", "9", "6", "7", "0", "9", "1", "7", "2", "2", "6", "6", "9", "4", "2", "4", "5", "5", "4", "4", "2", "3" ]
[ "nonn", "cons", "easy" ]
11
1
1
null
null
Stefano Spezia, Apr 03 2025
2025-04-05T10:52:36
oeisdata/seq/A382/A382697.seq
d4f8966977c2ad0a6d2527ffd167d17f
A382698
First member of the least set of 3 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n.
[ "2", "3", "5", "3", "43", "5", "977", "53", "313", "43", "787", "137", "9587", "977", "2473", "541", "3967", "313", "28979", "947", "3121", "787", "72823", "283", "47441", "9587", "81463", "4363", "61153", "2473", "478001", "21617", "160243", "3967", "132763", "8017", "227873", "28979", "218279", "12163", "1772119", "3121", "3070187", "57413", "841459" ]
[ "nonn", "easy" ]
23
1
1
[ "A254862", "A382698", "A382699", "A382700" ]
null
Paolo P. Lava, Apr 04 2025
2025-04-15T08:26:56
oeisdata/seq/A382/A382698.seq
2172869a558435a8782b8e5a94aa7430
A382699
First member of the least set of 4 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n.
[ "2", "3", "5", "23", "157", "5", "977", "53", "5171", "157", "33871", "137", "159293", "977", "2969", "541", "406873", "5171", "471313", "6047", "166739", "33871", "2112193", "5309", "520763", "159293", "207869", "5443", "2404471", "2969", "1531487", "88919", "2673791", "406873", "6056569", "95737", "8480357", "471313", "561829", "73477" ]
[ "nonn" ]
20
1
1
[ "A254862", "A382698", "A382699", "A382700" ]
null
Paolo P. Lava, Apr 04 2025
2025-04-19T18:10:12
oeisdata/seq/A382/A382699.seq
1ddf4970d34ce77d100e16c6060eef12
A382700
First member of the least set of 5 consecutive primes such that the sum of each pair of consecutive primes in this set is a multiple of n.
[ "2", "3", "5", "47", "3593", "5", "10487", "523", "38377", "3593", "1796671", "409", "947423", "10487", "60383", "62501", "18164651", "38377", "15095579", "32633", "3272567", "1796671", "116863451", "67819", "65835479", "947423", "7005239", "1165217", "1154953243", "60383", "800037461", "7442557", "15442121", "18164651", "771405431" ]
[ "nonn" ]
17
1
1
[ "A254862", "A382698", "A382699", "A382700" ]
null
Paolo P. Lava, Apr 04 2025
2025-04-15T08:26:50
oeisdata/seq/A382/A382700.seq
66f8e75453ed5886645d62649c80e83e
A382701
Expansion of e.g.f. -log(1 - x)^3 * exp(3*x) / 6.
[ "0", "0", "0", "1", "18", "215", "2205", "21469", "209356", "2111318", "22448130", "254297241", "3083362326", "40046861205", "556384764663", "8248646054349", "130120383122136", "2177629350914412", "38552967519050628", "720104832324072081", "14154891429467595258", "292132391046470467443", "6316572474787017069297" ]
[ "nonn" ]
22
0
5
[ "A327997", "A381022", "A382701" ]
null
Seiichi Manyama, Apr 19 2025
2025-04-19T11:06:37
oeisdata/seq/A382/A382701.seq
9b6d8424fcf9918c42f6628b55ebd504
A382702
Indices k where b(k) > k, where b is the EKG sequence A064413.
[ "3", "4", "6", "7", "9", "11", "12", "13", "15", "16", "18", "19", "21", "22", "23", "24", "25", "26", "29", "30", "31", "32", "34", "35", "36", "38", "39", "41", "42", "44", "45", "46", "47", "48", "49", "51", "52", "53", "54", "55", "56", "58", "59", "60", "62", "63", "65", "66", "68", "69", "70", "71", "72", "73", "75", "76", "77", "79", "80", "82", "83", "84", "85", "86", "87", "88", "90", "91", "92", "94", "95", "96", "97", "98", "99", "101", "102", "103", "104", "105", "106", "108" ]
[ "nonn" ]
19
1
1
[ "A064413", "A152458", "A382702", "A382703", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:32:33
oeisdata/seq/A382/A382702.seq
93b962400e76bee79da927cd07350d91
A382703
Numbers k which appear "prematurely" in A064413, that is, k appears before the k-th term.
[ "4", "6", "9", "12", "10", "15", "18", "14", "21", "24", "20", "22", "33", "27", "30", "25", "35", "28", "39", "36", "32", "34", "51", "42", "38", "57", "45", "44", "46", "69", "48", "50", "52", "54", "56", "63", "60", "55", "65", "70", "58", "87", "66", "62", "93", "72", "68", "74", "111", "75", "78", "76", "80", "82", "123", "81", "84", "88", "86", "129", "90", "85", "95", "100", "92", "94", "141", "96", "98", "104", "102", "99", "105", "108", "106", "159", "114", "110", "112", "116" ]
[ "nonn" ]
12
1
1
[ "A064413", "A152458", "A382702", "A382703", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:32:41
oeisdata/seq/A382/A382703.seq
50aafec439c3622f59deeb3faf084cc1
A382704
Indices k where b(k) < k, where b is the EKG sequence A064413.
[ "5", "10", "14", "17", "20", "27", "28", "33", "37", "43", "50", "57", "61", "67", "74", "78", "81", "89", "93", "100", "107", "115", "124", "128", "134", "138", "151", "160", "167", "171", "182", "189", "197", "203", "207", "210", "213", "216", "236", "253", "259", "264", "279", "287", "290", "297", "305", "314", "328", "336", "344", "363", "371", "377", "381", "401", "420", "430", "438", "444", "458", "462", "474", "487", "501", "510", "517", "530", "540", "549" ]
[ "nonn" ]
18
1
1
[ "A064413", "A152458", "A382702", "A382704", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:32:52
oeisdata/seq/A382/A382704.seq
5c00ade0cd93d5762ac3078139caee3d
A382705
Numbers k which are "delayed" in A064413, that is, k appears after the k-th term.
[ "3", "5", "7", "16", "11", "26", "13", "17", "19", "23", "49", "29", "31", "37", "41", "77", "43", "47", "91", "53", "59", "61", "121", "67", "71", "73", "79", "83", "89", "169", "97", "101", "103", "107", "109", "205", "209", "113", "127", "131", "137", "139", "149", "151", "289", "157", "163", "167", "173", "179", "181", "191", "193", "197", "199", "211", "223", "227", "229", "233", "239", "241", "251", "257", "263", "269", "271", "277", "281", "283", "293", "307", "311" ]
[ "nonn" ]
18
1
1
[ "A064413", "A152458", "A382702", "A382705", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:33:09
oeisdata/seq/A382/A382705.seq
0beefe7aa9719c900dbb831735be0b07
A382706
a(n) = number of indices k, 1 <= k <= n, such that A064413(k) > k.
[ "0", "0", "1", "2", "2", "3", "4", "4", "5", "5", "6", "7", "8", "8", "9", "10", "10", "11", "12", "12", "13", "14", "15", "16", "17", "18", "18", "18", "19", "20", "21", "22", "22", "23", "24", "25", "25", "26", "27", "27", "28", "29", "29", "30", "31", "32", "33", "34", "35", "35", "36", "37", "38", "39", "40", "41", "41", "42", "43", "44", "44", "45", "46", "46", "47", "48", "48", "49", "50", "51", "52", "53", "54", "54", "55", "56", "57", "57", "58", "59", "59", "60", "61", "62", "63", "64", "65", "66" ]
[ "nonn" ]
10
1
4
[ "A064413", "A152458", "A382702", "A382706", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:33:18
oeisdata/seq/A382/A382706.seq
5bb16be96fa7bd55603ef343642b18ef
A382707
a(n) = number of indices k, 1 <= k <= n, such that A064413(k) < k.
[ "0", "0", "0", "0", "1", "1", "1", "1", "1", "2", "2", "2", "2", "3", "3", "3", "4", "4", "4", "5", "5", "5", "5", "5", "5", "5", "6", "7", "7", "7", "7", "7", "8", "8", "8", "8", "9", "9", "9", "9", "9", "9", "10", "10", "10", "10", "10", "10", "10", "11", "11", "11", "11", "11", "11", "11", "12", "12", "12", "12", "13", "13", "13", "13", "13", "13", "14", "14", "14", "14", "14", "14", "14", "15", "15", "15", "15", "16", "16", "16", "17", "17", "17", "17", "17", "17", "17", "17", "18", "18", "18", "18", "19" ]
[ "nonn" ]
12
1
10
[ "A064413", "A152458", "A382702", "A382707", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-04-05T02:33:32
oeisdata/seq/A382/A382707.seq
41fdca6b141f68c1734a350c613136a2
A382708
Number of triples (i,j,k), 1 <= i < j < k <= n such that A064413(i) < A064413(k) < A064413(j).
[ "0", "0", "0", "0", "4", "4", "4", "14", "20", "39", "39", "39", "59", "97", "97", "97", "134", "162", "177", "260", "260", "280", "300", "360", "360", "423", "525", "694", "694", "722", "817", "895", "1129", "1129", "1162", "1254", "1546", "1546", "1615", "1751", "1856", "1925", "2326", "2326", "2436", "2546", "2625", "2704", "2783", "3061", "3104", "3196", "3415", "3458", "3458", "3699", "4439", "4439", "4590", "4890", "5725", "5725", "5842" ]
[ "nonn", "changed" ]
21
1
5
[ "A064413", "A152458", "A382702", "A382707", "A382708" ]
null
N. J. A. Sloane, Apr 04 2025
2025-07-09T05:08:53
oeisdata/seq/A382/A382708.seq
96419bd6f1d69c040b4c8a95c4faad0c
A382709
Numerator of (2^n - 1)*n! / 2^(n+1).
[ "0", "1", "3", "21", "45", "465", "2835", "40005", "80325", "1448685", "14501025", "319178475", "1915538625", "49810085325", "697383762075", "20922151375125", "41844941263125", "1422738857665125", "25609397130442125", "973158947113728375", "9731598751921921875", "408727342477198119375", "8992003678359610033125", "413632218513350843881875" ]
[ "nonn", "frac", "changed" ]
23
0
3
[ "A117973", "A382709" ]
null
N. J. A. Sloane, Apr 06 2025, following a suggestion from Fernando Galve Mauricio
2025-07-09T05:09:00
oeisdata/seq/A382/A382709.seq
4385fe36a76aabf876de2aca094b61b8
A382710
Smallest missing number after A019444(n) has been computed.
[ "2", "2", "4", "4", "4", "5", "5", "7", "7", "7", "9", "9", "9", "10", "10", "12", "12", "12", "13", "13", "15", "15", "15", "17", "17", "17", "18", "18", "20", "20", "20", "22", "22", "22", "23", "23", "25", "25", "25", "26", "26", "28", "28", "28", "30", "30", "30", "31", "31", "33", "33", "33", "34", "34", "36", "36", "36", "38", "38", "38", "39", "39", "41", "41", "41", "43", "43", "43", "44", "44", "46", "46", "46", "47", "47", "49", "49", "49", "51", "51", "51", "52", "52", "54", "54", "54", "56" ]
[ "nonn" ]
4
1
1
[ "A019444", "A282162", "A382710" ]
null
N. J. A. Sloane, Apr 06 2025
2025-04-07T12:48:05
oeisdata/seq/A382/A382710.seq
08f6a2beaac18efffcfdb7541be25553
A382711
Regarding A381019 as a permutation of the natural numbers, this is the cycle with smallest term 8, read in the forward direction.
[ "8", "13", "9", "17", "41", "139", "677", "4651", "43037" ]
[ "nonn", "more" ]
8
1
1
[ "A381019", "A382711", "A382712" ]
null
N. J. A. Sloane, Apr 06 2025
2025-04-09T14:34:26
oeisdata/seq/A382/A382711.seq
56b4eb56d6191cbaec3beb5c5d3bca30
A382712
Regarding A381019 as a permutation of the natural numbers, this is the cycle with smallest term 8, read in the reverse direction.
[ "8", "16", "64", "975", "126300" ]
[ "nonn", "more" ]
6
1
1
[ "A381019", "A382711", "A382712" ]
null
N. J. A. Sloane, Apr 06 2025
2025-04-07T12:49:01
oeisdata/seq/A382/A382712.seq
4b7c60cd2d2047ab2edeb8e75073be85
A382713
Simple continued fraction expansion of sqrt(3/2).
[ "1", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2", "4", "2" ]
[ "nonn", "cofr", "easy" ]
18
0
2
[ "A010694", "A040003", "A105397", "A106469", "A115754", "A142238", "A142239", "A382713" ]
null
N. J. A. Sloane, Apr 08 2025
2025-04-14T09:04:56
oeisdata/seq/A382/A382713.seq
9851149cada716d51b4daeaf4296ed79
A382714
Simple continued fraction for the decimal number 10.100001100... defined in A379651.
[ "10", "9", "1", "9089", "10", "1343237306", "2", "80", "4", "6", "3", "1", "1", "2", "2", "2", "1", "2", "7", "4", "2", "1", "11", "4", "1", "1", "19", "3", "2", "1", "7", "1", "4", "1", "13", "1", "1", "3", "1", "1", "25", "5", "3", "273", "4", "13", "12", "2", "1", "2", "3", "3", "1", "1", "81", "2", "3", "3", "5", "4", "4", "9", "1", "1", "2", "1", "17", "1", "1", "7", "1", "4", "1", "2", "1", "3", "5", "1", "1", "2", "2", "4", "3", "6", "1", "4", "2", "2", "1", "3", "4", "5", "1", "1", "3", "6", "3", "13", "4", "4", "1" ]
[ "nonn", "cofr" ]
6
0
1
[ "A379651", "A382714" ]
null
N. J. A. Sloane, Apr 08 2025
2025-04-09T14:32:17
oeisdata/seq/A382/A382714.seq
85e0db853291db966665c43a2e71913d
A382715
The term in A377091 that immediately precedes n, or 0 if n does not appear in A377091.
[ "0", "1", "-1", "3", "4", "-3", "6", "7", "13", "9", "10", "11", "-12", "18", "14", "15", "16", "-18", "20", "21", "25", "23", "19", "28", "-24", "22", "26", "27", "30", "31", "32", "-32", "29", "33", "34", "35", "36", "37", "38", "39", "40", "-39", "42", "43", "44", "45", "46", "47", "48", "49", "-49", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "-59", "62", "63", "64", "65" ]
[ "sign" ]
35
1
4
[ "A377091", "A379059", "A379789", "A382715", "A382716", "A382717", "A382718" ]
null
N. J. A. Sloane, Apr 09 2025
2025-04-13T03:26:56
oeisdata/seq/A382/A382715.seq
37687bbf2d0858ba5a979e734f6a6bdf