Datasets:
christopher
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oeis

Dataset card Data Studio Files
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2
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348
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score
int64
1
2.35k
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int64
-14,827
666,262,453B
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int64
0
635M
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timestamp
timestamp[us]date
1999-12-11 03:00:00
2025-07-19 00:40:46
filename
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32
32
A014701
Number of multiplications to compute n-th power by the Chandah-sutra method.
[ "0", "1", "2", "2", "3", "3", "4", "3", "4", "4", "5", "4", "5", "5", "6", "4", "5", "5", "6", "5", "6", "6", "7", "5", "6", "6", "7", "6", "7", "7", "8", "5", "6", "6", "7", "6", "7", "7", "8", "6", "7", "7", "8", "7", "8", "8", "9", "6", "7", "7", "8", "7", "8", "8", "9", "7", "8", "8", "9", "8", "9", "9", "10", "6", "7", "7", "8", "7", "8", "8", "9", "7", "8", "8", "9", "8", "9", "9", "10", "7", "8", "8", "9", "8", "9", "9" ]
[ "easy", "nonn" ]
163
1
3
[ "A003313", "A014701", "A052955", "A056791", "A056792", "A115964" ]
null
James Kilfiger (jamesk(AT)maths.warwick.ac.uk)
2025-05-20T17:13:39
oeisdata/seq/A014/A014701.seq
7de05e1c10a18b520582c9a85512ef1d
A014702
Inverse of 693rd cyclotomic polynomial.
[ "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2018-03-18T10:31:47
oeisdata/seq/A014/A014702.seq
7e627d356e880fde099a5128bc09a5ce
A014703
Expansion of ((theta_2)^4+(theta_3)^4)/Delta_24.
[ "1", "48", "924", "11648", "112554", "900480", "6237992", "38518272", "216312471", "1121172864", "5423521068", "24699631872", "106641585414", "438994533888", "1731155650440", "6565683764224", "24030148815603", "85118921457024" ]
[ "nonn", "changed" ]
5
0
2
null
null
N. J. A. Sloane
2025-07-08T05:41:21
oeisdata/seq/A014/A014703.seq
cf260d02b1e721eeb9c160bd32d3e200
A014704
Expansion of ((theta_2)^4+(theta_3)^4)/(Delta_24)^2.
[ "1", "72", "2400", "52576", "870732", "11739984", "134825216", "1359259200", "12290396058", "101268020984", "769721861376", "5449376818656", "36216000728200", "227395735413552", "1356190070338560", "7717657198319936", "42069113073665703", "220400042813587800" ]
[ "nonn" ]
10
0
2
null
null
N. J. A. Sloane
2015-12-03T10:03:15
oeisdata/seq/A014/A014704.seq
7ced4a5765fd838d73d06e152a89d63d
A014705
Expansion of ((theta_2)^4 + (theta_3)^4) / eta(z/2)^4.
[ "1", "28", "134", "568", "1809", "5316", "13990", "34696", "80724", "180068", "384940", "796760", "1598789", "3127360", "5971922", "11170160", "20491033", "36947444", "65553412", "114619248", "197681341", "336670120", "566630192", "943234040", "1553941445", "2535325644", "4098671374", "6568931200", "10441889389" ]
[ "nonn" ]
23
0
2
[ "A014705", "A101127" ]
null
N. J. A. Sloane
2025-06-01T18:04:53
oeisdata/seq/A014/A014705.seq
0cbdddbd56f973e789b8a6c6d7ddfebd
A014706
Inverse of 697th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T10:41:08
oeisdata/seq/A014/A014706.seq
8fbe9402c2bb8e81569cb2c661dc139b
A014707
a(4n) = 0, a(4n+2) = 1, a(2n+1) = a(n).
[ "0", "0", "1", "0", "0", "1", "1", "0", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "1", "0", "0", "1", "1", "1", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "1", "0", "0", "1", "1", "0", "0", "0", "1", "1", "0", "1", "1", "1", "0", "0", "1", "0", "0", "1", "1", "1", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "1", "0", "0", "1", "1", "0", "0", "0", "1", "1", "0", "1", "1", "0", "0", "0", "1", "0", "0", "1", "1", "1", "0", "0", "1", "1", "0" ]
[ "nonn", "easy", "nice" ]
110
0
1
[ "A014577", "A014707", "A014709", "A014710", "A034947", "A038189", "A082410", "A220466" ]
null
N. J. A. Sloane
2025-01-03T02:21:17
oeisdata/seq/A014/A014707.seq
a0165fb09b9cfa5b129e44f5bb840711
A014708
Coefficients of the modular function J = j - 744.
[ "1", "0", "196884", "21493760", "864299970", "20245856256", "333202640600", "4252023300096", "44656994071935", "401490886656000", "3176440229784420", "22567393309593600", "146211911499519294", "874313719685775360", "4872010111798142520", "25497827389410525184" ]
[ "easy", "nonn", "nice" ]
50
-1
3
[ "A000521", "A003173", "A007240", "A014708", "A027653", "A069014" ]
null
N. J. A. Sloane
2017-12-24T16:06:14
oeisdata/seq/A014/A014708.seq
5705fe2e3fbf7f9619e5958151352cfd
A014709
The regular paper-folding (or dragon curve) sequence. Alphabet {1,2}.
[ "1", "1", "2", "1", "1", "2", "2", "1", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1", "2", "1", "1", "2", "2", "2", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1", "2", "1", "1", "2", "2", "1", "1", "1", "2", "2", "1", "2", "2", "2", "1", "1", "2", "1", "1", "2", "2", "2", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1", "2", "1", "1", "2", "2", "1", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1" ]
[ "nonn", "changed" ]
43
0
3
[ "A014577", "A014707", "A014709", "A014710", "A034947", "A038189", "A065339", "A082410" ]
null
N. J. A. Sloane
2025-07-08T05:41:26
oeisdata/seq/A014/A014709.seq
e69d9bd0c3fb9f954f618f5a3db296a9
A014710
The regular paper-folding (or dragon curve) sequence. Alphabet {2,1}.
[ "2", "2", "1", "2", "2", "1", "1", "2", "2", "2", "1", "1", "2", "1", "1", "2", "2", "2", "1", "2", "2", "1", "1", "1", "2", "2", "1", "1", "2", "1", "1", "2", "2", "2", "1", "2", "2", "1", "1", "2", "2", "2", "1", "1", "2", "1", "1", "1", "2", "2", "1", "2", "2", "1", "1", "1", "2", "2", "1", "1", "2", "1", "1", "2", "2", "2", "1", "2", "2", "1", "1", "2", "2", "2", "1", "1", "2", "1", "1", "2", "2", "2" ]
[ "nonn", "changed" ]
48
0
1
[ "A014577", "A014707", "A014709", "A014710", "A034947", "A038189", "A082410" ]
null
N. J. A. Sloane
2025-07-08T05:41:32
oeisdata/seq/A014/A014710.seq
2001e243e0e1e204f0a9d70698518f23
A014711
Theta series of 16-dimensional 2-modular lattice with min norm 3 and det 256 (the "odd Barnes-Wall lattice").
[ "1", "0", "0", "256", "2016", "9216", "32768", "96768", "246240", "563200", "1179648", "2292480", "4214400", "7382016", "12386304", "20110848", "31617504", "48273408", "72089600", "105166080", "150424128", "211988480", "293437440", "400559616" ]
[ "nonn" ]
8
0
4
null
null
N. J. A. Sloane, E. M. Rains
2012-10-04T10:28:27
oeisdata/seq/A014/A014711.seq
4651580b6bf360cca90eb44b4b1a3a9b
A014712
Inverse of 703rd cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
14
0
1
null
null
Simon Plouffe
2017-04-06T10:42:45
oeisdata/seq/A014/A014712.seq
11838699c9ef5dfca10b3af209e16b72
A014713
Theta series of shadow of lattice described in A014711.
[ "0", "0", "0", "256", "2304", "9216", "28672", "96768", "276480", "563200", "1032192", "2292480", "4746240", "7382016", "10838016", "20110848", "35536896", "48273408", "63078400", "105166080", "169385472", "211988480", "256757760", "400559616" ]
[ "nonn" ]
8
0
4
[ "A014711", "A014713" ]
null
N. J. A. Sloane, E. M. Rains
2023-12-26T23:32:01
oeisdata/seq/A014/A014713.seq
6b1cf7aec2949a21127169b390aa83e2
A014714
Inverse of 705th cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:06:44
oeisdata/seq/A014/A014714.seq
f7d708f0e4a7bc179fe5f6009010c7ea
A014715
Decimal expansion of Conway's constant.
[ "1", "3", "0", "3", "5", "7", "7", "2", "6", "9", "0", "3", "4", "2", "9", "6", "3", "9", "1", "2", "5", "7", "0", "9", "9", "1", "1", "2", "1", "5", "2", "5", "5", "1", "8", "9", "0", "7", "3", "0", "7", "0", "2", "5", "0", "4", "6", "5", "9", "4", "0", "4", "8", "7", "5", "7", "5", "4", "8", "6", "1", "3", "9", "0", "6", "2", "8", "5", "5", "0", "8", "8", "7", "8", "5", "2", "4", "6", "1", "5", "5", "7", "1", "2", "6", "8", "1", "5", "7", "6", "6", "8", "6", "4", "4", "2", "5", "2", "2", "5", "5", "5" ]
[ "nonn", "cons" ]
74
1
2
[ "A005150", "A006715", "A006751", "A014715", "A014967" ]
null
Eric W. Weisstein
2025-03-19T07:44:46
oeisdata/seq/A014/A014715.seq
f5fc2f6eced2c172a79272a9bb7c8f62
A014716
Incomplete version of A016070.
[ "38", "88", "109", "173", "212", "235", "3114" ]
[ "dead" ]
1
0
1
null
null
null
1999-12-11T03:00:00
oeisdata/seq/A014/A014716.seq
0cc1dc11894212bafe38fe698afb654c
A014717
a(n) = (F(n+1) + L(n))^2 where F(n) are the Fibonacci numbers (A000045) and L(n) are the Lucas numbers (A000032).
[ "9", "4", "25", "49", "144", "361", "961", "2500", "6561", "17161", "44944", "117649", "308025", "806404", "2111209", "5527201", "14470416", "37884025", "99181681", "259660996", "679801329", "1779742969", "4659427600", "12198539809", "31936191849", "83610035716", "218893915321", "573071710225", "1500321215376" ]
[ "nonn", "easy" ]
47
0
1
[ "A000032", "A000045", "A013655", "A014717" ]
null
Mohammad K. Azarian
2022-09-08T08:44:39
oeisdata/seq/A014/A014717.seq
c7440895c1ed3bf9b0623b0a666c0fad
A014718
a(n) = (F(n+1)+L(n)+n)^2 where F(n) are the Fibonacci numbers (A000045) and L(n) are the Lucas numbers (A000032).
[ "9", "9", "49", "100", "256", "576", "1369", "3249", "7921", "19600", "49284", "125316", "321489", "829921", "2152089", "5597956", "14592400", "38093584", "99540529", "260273689", "680844649", "1781515264", "4662431524", "12203620900", "31944770361", "83624494041", "218918244769", "573112589764", "1500389809216" ]
[ "nonn", "easy" ]
13
0
1
[ "A000032", "A000045", "A014718" ]
null
Mohammad K. Azarian
2017-10-04T15:34:50
oeisdata/seq/A014/A014718.seq
86303677c241256411150ac766bcc9e1
A014719
Squares of elements in Pascal triangle (by row) that are not 1.
[ "4", "9", "9", "16", "36", "16", "25", "100", "100", "25", "36", "225", "400", "225", "36", "49", "441", "1225", "1225", "441", "49", "64", "784", "3136", "4900", "3136", "784", "64", "81", "1296", "7056", "15876", "15876", "7056", "1296", "81", "100", "2025", "14400", "44100", "63504", "44100", "14400", "2025", "100", "121", "3025" ]
[ "nonn", "tabl" ]
36
2
1
[ "A007318", "A014410", "A014719" ]
null
Mohammad K. Azarian
2018-12-13T12:44:07
oeisdata/seq/A014/A014719.seq
ca25830201ac43ad60b43e5f4b2dbdb0
A014720
Squares of elements to right of central element in Pascal triangle (by row) that are not 1.
[ "9", "16", "100", "25", "225", "36", "1225", "441", "49", "3136", "784", "64", "15876", "7056", "1296", "81", "44100", "14400", "2025", "100", "213444", "108900", "27225", "3025", "121", "627264", "245025", "48400", "4356", "144", "2944656", "1656369", "511225", "81796", "6084", "169", "9018009", "4008004", "1002001" ]
[ "nonn", "tabf" ]
14
1
1
[ "A014411", "A014720" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014720.seq
7a45a46b74f94824398809d63230bee9
A014721
Squares of elements to left of the central element in Pascal triangle (by row).
[ "1", "1", "9", "1", "16", "1", "100", "25", "1", "225", "36", "1", "1225", "441", "49", "1", "3136", "784", "64", "1", "15876", "7056", "1296", "81", "1", "44100", "14400", "2025", "100", "1", "213444", "108900", "27225", "3025", "121", "1", "627264", "245025", "48400", "4356", "144", "1", "2944656", "1656369", "511225", "81796" ]
[ "nonn", "tabf" ]
12
1
3
[ "A014413", "A014721" ]
null
Mohammad K. Azarian
2018-11-19T02:39:32
oeisdata/seq/A014/A014721.seq
60f922379551c91a0ccc59bf6f8aefaf
A014722
Inverse of 713th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2019-03-17T16:35:34
oeisdata/seq/A014/A014722.seq
ce5b9ce217d2c096d27ae546abcfb2f7
A014723
Inverse of 714th cyclotomic polynomial.
[ "1", "1", "0", "-1", "-1", "0", "1", "0", "-1", "-1", "0", "1", "1", "0", "0", "0", "0", "-1", "-1", "0", "1", "1", "0", "-1", "0", "1", "1", "0", "-1", "-1", "0", "0", "0", "0", "1", "1", "0", "-1", "-1", "0", "1", "0", "-1", "-1", "0", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:09:10
oeisdata/seq/A014/A014723.seq
fa47fc467524a7791bda3606f8658198
A014724
Inverse of 715th cyclotomic polynomial.
[ "1", "-1", "0", "0", "0", "1", "-1", "0", "0", "0", "1", "0", "-1", "1", "-1", "1", "0", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "1", "-1", "0", "0", "0", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "0", "0", "0", "-1", "1", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "0", "1", "-1", "1", "-1" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2021-10-24T11:18:30
oeisdata/seq/A014/A014724.seq
59df935322c37ff182861438d4f01a28
A014725
Squares of odd elements in Pascal triangle that are not 1.
[ "9", "9", "25", "25", "225", "225", "49", "441", "1225", "1225", "441", "49", "81", "81", "2025", "2025", "121", "3025", "27225", "27225", "3025", "121", "245025", "245025", "169", "511225", "1656369", "1656369", "511225", "169", "8281", "1002001", "9018009", "9018009", "1002001", "8281", "225", "11025", "207025", "1863225" ]
[ "nonn" ]
12
1
1
[ "A014414", "A014725" ]
null
Mohammad K. Azarian
2018-11-19T02:40:02
oeisdata/seq/A014/A014725.seq
8d01383030a14f9b07b500a7f1f203e2
A014726
Squares of odd elements in Pascal triangle.
[ "1", "1", "1", "1", "1", "1", "9", "9", "1", "1", "1", "1", "25", "25", "1", "1", "225", "225", "1", "1", "49", "441", "1225", "1225", "441", "49", "1", "1", "1", "1", "81", "81", "1", "1", "2025", "2025", "1", "1", "121", "3025", "27225", "27225", "3025", "121", "1", "1", "245025", "245025", "1", "1", "169", "511225", "1656369", "1656369" ]
[ "nonn", "tabf" ]
12
0
7
[ "A014421", "A014726" ]
null
Mohammad K. Azarian
2018-11-19T03:11:01
oeisdata/seq/A014/A014726.seq
658d3c6a0af8edaac3a6e7c96902a95c
A014727
Squares of even elements in Pascal's triangle A007318.
[ "4", "16", "36", "16", "100", "100", "36", "400", "36", "64", "784", "3136", "4900", "3136", "784", "64", "1296", "7056", "15876", "15876", "7056", "1296", "100", "14400", "44100", "63504", "44100", "14400", "100", "108900", "213444", "213444", "108900", "144", "4356", "48400", "627264", "853776", "627264", "48400", "4356" ]
[ "nonn", "tabf", "easy" ]
15
0
1
[ "A007318", "A014428", "A014727" ]
null
Mohammad K. Azarian
2020-04-18T12:51:03
oeisdata/seq/A014/A014727.seq
b2e8ee4979fad88f3b6b28882d9b965f
A014728
Squares of odd Fibonacci numbers.
[ "1", "1", "9", "25", "169", "441", "3025", "7921", "54289", "142129", "974169", "2550409", "17480761", "45765225", "313679521", "821223649", "5628750625", "14736260449", "101003831721", "264431464441", "1812440220361", "4745030099481", "32522920134769" ]
[ "nonn" ]
16
0
3
[ "A014437", "A014728" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014728.seq
947ff9924c44b82e0b9308d37127456e
A014729
Squares of even Fibonacci numbers.
[ "0", "4", "64", "1156", "20736", "372100", "6677056", "119814916", "2149991424", "38580030724", "692290561600", "12422650078084", "222915410843904", "4000054745112196", "71778070001175616", "1288005205276048900", "23112315624967704576", "414733676044142633476", "7442093853169599697984" ]
[ "nonn", "easy" ]
48
0
2
[ "A014445", "A014729" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014729.seq
0f08a2e562dabc40d08cab466f3332fc
A014730
Squares of odd Lucas numbers.
[ "1", "9", "49", "121", "841", "2209", "15129", "39601", "271441", "710649", "4870849", "12752041", "87403801", "228826129", "1568397609", "4106118241", "28143753121", "73681302249", "505019158609", "1322157322201", "9062201101801", "23725150497409", "162614600673849", "425730551631121", "2918000611027441" ]
[ "nonn", "easy" ]
26
0
2
[ "A014447", "A014730", "A081069" ]
null
Mohammad K. Azarian
2024-02-07T12:32:36
oeisdata/seq/A014/A014730.seq
37a9e3b044d1247842cea26cd1ab6e8b
A014731
Squares of even Lucas numbers.
[ "4", "16", "324", "5776", "103684", "1860496", "33385284", "599074576", "10749957124", "192900153616", "3461452808004", "62113250390416", "1114577054219524", "20000273725560976", "358890350005878084", "6440026026380244496", "115561578124838522884", "2073668380220713167376" ]
[ "nonn", "easy" ]
33
0
1
[ "A000045", "A014448", "A014731" ]
null
Mohammad K. Azarian
2024-11-19T17:52:56
oeisdata/seq/A014/A014731.seq
7f99085e963edcfa00f98d0363d55ecc
A014732
Squares of numbers in triangle of Eulerian numbers that are not 1.
[ "16", "121", "121", "676", "4356", "676", "3249", "91204", "91204", "3249", "14400", "1418481", "5837056", "1418481", "14400", "61009", "18429849", "243953161", "243953161", "18429849", "61009", "252004", "213393664", "7785238756", "24395316100", "7785238756", "213393664", "252004" ]
[ "nonn", "easy", "tabf" ]
14
1
1
[ "A008292", "A014449", "A014732" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014732.seq
a41189b59a8c38ec1483448c7f6c5464
A014733
Squares of even numbers in triangle of Eulerian numbers.
[ "16", "676", "4356", "676", "91204", "91204", "14400", "5837056", "14400", "252004", "213393664", "7785238756", "24395316100", "7785238756", "213393664", "252004", "2288665600", "207199756864", "1717027605316", "1717027605316", "207199756864", "2288665600" ]
[ "nonn", "easy", "tabf" ]
14
1
1
[ "A008292", "A014450", "A014733" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014733.seq
553962a82538e9a0c7a48c667553f9e5
A014734
Squares of odd numbers in triangle of Eulerian numbers.
[ "1", "1", "1", "1", "1", "1", "121", "121", "1", "1", "1", "1", "3249", "3249", "1", "1", "1418481", "1418481", "1", "1", "61009", "18429849", "243953161", "243953161", "18429849", "61009", "1", "1", "1", "1", "1026169", "1026169", "1", "1", "23298053769", "23298053769", "1", "1", "16670889", "228743149441", "103788925659225" ]
[ "nonn", "easy" ]
14
1
7
[ "A008292", "A014459", "A014734", "A014735" ]
null
Mohammad K. Azarian
2018-11-19T02:34:22
oeisdata/seq/A014/A014734.seq
598eb1edf3ecd966d1a90aa842ddab4c
A014735
Squares of odd numbers in triangle of Eulerian numbers that are not 1.
[ "121", "121", "3249", "3249", "1418481", "1418481", "61009", "18429849", "243953161", "243953161", "18429849", "61009", "1026169", "1026169", "23298053769", "23298053769", "16670889", "228743149441", "103788925659225", "103788925659225", "228743149441" ]
[ "nonn", "easy" ]
18
1
1
[ "A008292", "A014461", "A014735" ]
null
Mohammad K. Azarian
2018-11-19T02:34:30
oeisdata/seq/A014/A014735.seq
9a28f991960266c9fe6416eec6edb839
A014736
Squares of odd triangular numbers.
[ "1", "9", "225", "441", "2025", "3025", "8281", "11025", "23409", "29241", "53361", "64009", "105625", "123201", "189225", "216225", "314721", "354025", "494209", "549081", "741321", "815409", "1071225", "1168561", "1500625", "1625625", "2047761", "2205225", "2732409", "2927521" ]
[ "nonn", "easy" ]
31
0
2
[ "A000217", "A006752", "A014493", "A014736", "A014738" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014736.seq
5afff7fa5d22526a2ecca4fb3d0b9005
A014737
Inverse of 728th cyclotomic polynomial.
[ "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "-1", "0", "0", "0", "1", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2021-11-02T12:40:34
oeisdata/seq/A014/A014737.seq
c89f0c74784efbfa384f47dd73264dd1
A014738
Squares of even triangular numbers.
[ "36", "100", "784", "1296", "4356", "6084", "14400", "18496", "36100", "44100", "76176", "90000", "142884", "164836", "246016", "278784", "396900", "443556", "608400", "672400", "894916", "980100", "1272384", "1382976", "1758276", "1898884", "2371600", "2547216", "3132900", "3348900" ]
[ "nonn", "easy" ]
22
0
1
[ "A006752", "A014494", "A014736", "A014738" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014738.seq
8bfb917b568a4c35716fa3a4dafed880
A014739
Expansion of (1+x^2)/(1-2*x+x^3).
[ "1", "2", "5", "9", "16", "27", "45", "74", "121", "197", "320", "519", "841", "1362", "2205", "3569", "5776", "9347", "15125", "24474", "39601", "64077", "103680", "167759", "271441", "439202", "710645", "1149849", "1860496", "3010347", "4870845", "7881194", "12752041", "20633237", "33385280", "54018519", "87403801" ]
[ "nonn", "easy" ]
46
0
2
[ "A000032", "A000045", "A014739", "A171516" ]
null
N. J. A. Sloane
2024-01-04T03:21:16
oeisdata/seq/A014/A014739.seq
b8ef1237baa1d94f22be94b8b6f86ae8
A014740
Inverse of 731st cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
15
0
1
null
null
Simon Plouffe
2017-04-06T11:12:20
oeisdata/seq/A014/A014740.seq
7150b287c208e4a99a22886cf78b2492
A014741
Numbers k such that k divides 2^(k+1) - 2.
[ "1", "2", "6", "18", "42", "54", "126", "162", "294", "342", "378", "486", "882", "1026", "1134", "1314", "1458", "1806", "2058", "2394", "2646", "3078", "3402", "3942", "4374", "5334", "5418", "6174", "6498", "7182", "7938", "9198", "9234", "10206", "11826", "12642", "13122", "14154", "14406", "16002", "16254" ]
[ "nonn" ]
50
1
2
[ "A000295", "A006517", "A014741", "A015919", "A086787", "A330382" ]
null
N. J. A. Sloane, Olivier Gérard
2024-07-22T15:35:10
oeisdata/seq/A014/A014741.seq
bc352002ad2a32911d64d261ffd1f58e
A014742
Expansion of (1+x^2)/(1 - 2*x - 2*x^2 + x^3).
[ "1", "2", "7", "17", "46", "119", "313", "818", "2143", "5609", "14686", "38447", "100657", "263522", "689911", "1806209", "4728718", "12379943", "32411113", "84853394", "222149071", "581593817", "1522632382", "3986303327", "10436277601", "27322529474", "71531310823", "187271402993", "490282898158", "1283577291479" ]
[ "nonn", "easy" ]
74
0
2
[ "A000032", "A000045", "A014742", "A069921", "A264080" ]
null
N. J. A. Sloane
2025-02-16T08:32:33
oeisdata/seq/A014/A014742.seq
9dff9fcc5f5c49e7d26f4b370968b067
A014743
Expansion of (1+x)/(1-x-x^2-x^4-x^5).
[ "1", "2", "3", "5", "9", "17", "31", "56", "101", "183", "332", "602", "1091", "1977", "3583", "6494", "11770", "21332", "38662", "70071", "126997", "230170", "417161", "756064", "1370293", "2483524", "4501148", "8157897", "14785402", "26797116", "48567190", "88023351" ]
[ "nonn", "changed" ]
7
0
2
null
null
N. J. A. Sloane
2025-07-08T05:41:38
oeisdata/seq/A014/A014743.seq
d2538c872c4aa671d5f5f5fa9f16032d
A014744
Inverse of 735th cyclotomic polynomial.
[ "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2018-07-02T12:28:57
oeisdata/seq/A014/A014744.seq
b929572eb735e5c89f3d9f56620cab1c
A014745
Duplicate of A004533.
[ "1", "0", "264", "2048", "7944", "24576", "64416", "135168", "253704", "475136", "825264" ]
[ "dead" ]
4
0
3
null
null
null
2007-05-11T03:00:00
oeisdata/seq/A014/A014745.seq
44960dc9f4f6c574b4ca27b2f864db81
A014746
Inverse of 737th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:14:14
oeisdata/seq/A014/A014746.seq
e853f80a4d29d3e11367c359cdeed69b
A014747
Theta series of lattice D20+.
[ "1", "0", "760", "0", "77560", "524288", "2508000", "10485760", "34729720", "99614720", "259114704", "608174080", "1327461600", "2739404800", "5341699520", "9921626112", "17701924600", "30592204800", "51294999960", "83277905920", "131880275664" ]
[ "nonn" ]
16
0
3
[ "A014747", "A022051" ]
null
N. J. A. Sloane
2018-10-21T13:40:30
oeisdata/seq/A014/A014747.seq
1d9f841e101786acaf15f291666a7776
A014748
Squares of numbers in array formed from elements to the right of middle of rows of triangle of Eulerian numbers.
[ "1", "1", "121", "1", "676", "1", "91204", "3249", "1", "1418481", "14400", "1", "243953161", "18429849", "61009", "1", "7785238756", "213393664", "252004", "1", "1717027605316", "207199756864", "2288665600", "1026169", "1", "94830864276996", "4855359366144", "23298053769", "4145296", "1" ]
[ "nonn", "tabf", "easy" ]
14
0
3
[ "A008292", "A014467", "A014748" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014748.seq
3685881810124b889f29137ee436e802
A014749
Squares of numbers in array formed from elements to the right of middle of rows of triangle of Eulerian numbers that are not 1.
[ "121", "676", "91204", "3249", "1418481", "14400", "243953161", "18429849", "61009", "7785238756", "213393664", "252004", "1717027605316", "207199756864", "2288665600", "1026169", "94830864276996", "4855359366144", "23298053769", "4145296", "26410243100945796" ]
[ "nonn", "tabf" ]
13
1
1
[ "A008292", "A014468", "A014749" ]
null
Mohammad K. Azarian
2018-11-19T02:36:15
oeisdata/seq/A014/A014749.seq
ce556115435cf2aac22da49c9bb1cfdd
A014750
Inverse of 741st cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "1", "-2", "1", "1", "-2", "1", "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "1", "-2", "1", "1", "-2", "1", "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
17
0
21
null
null
Simon Plouffe
2018-09-27T17:25:39
oeisdata/seq/A014/A014750.seq
75e911320dc73b980d7e523fd657d0ea
A014751
Inverse of 742nd cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
16
0
1
null
null
Simon Plouffe
2017-04-13T16:51:45
oeisdata/seq/A014/A014751.seq
4003db91d32d6ec86810d2b970715daa
A014752
Primes of the form x^2 + 27y^2.
[ "31", "43", "109", "127", "157", "223", "229", "277", "283", "307", "397", "433", "439", "457", "499", "601", "643", "691", "727", "733", "739", "811", "919", "997", "1021", "1051", "1069", "1093", "1327", "1399", "1423", "1459", "1471", "1579", "1597", "1627", "1657", "1699", "1723", "1753", "1777", "1789", "1801", "1831", "1933", "1999", "2017" ]
[ "nonn" ]
71
1
1
[ "A014752", "A014753", "A040028", "A045309", "A059899", "A059914", "A060122", "A060123", "A060124" ]
null
Klaus Brockhaus, Mar 02 2001
2024-12-19T12:19:28
oeisdata/seq/A014/A014752.seq
c805ebe2e77c7a9e67479dcd09400ca2
A014753
Primes p==1 (mod 6) such that 3 and -3 are both cubes (one implies other) modulo p.
[ "61", "67", "73", "103", "151", "193", "271", "307", "367", "439", "499", "523", "547", "577", "613", "619", "643", "661", "727", "757", "787", "853", "919", "967", "991", "997", "1009", "1021", "1093", "1117", "1249", "1303", "1321", "1399", "1531", "1543", "1549", "1597", "1609", "1621", "1669", "1759", "1783", "1861", "1867" ]
[ "nonn", "easy" ]
28
1
1
[ "A014752", "A014753", "A014755" ]
null
Warren D. Smith
2021-11-21T13:36:17
oeisdata/seq/A014/A014753.seq
c461f1cd2f184f1079add4bae9367a0d
A014754
Primes p == 1 mod 8 such that 2 and -2 are both 4th powers (one implies other) mod p.
[ "73", "89", "113", "233", "257", "281", "337", "353", "577", "593", "601", "617", "881", "937", "1033", "1049", "1097", "1153", "1193", "1201", "1217", "1249", "1289", "1433", "1481", "1553", "1601", "1609", "1721", "1753", "1777", "1801", "1889", "1913", "2089", "2113", "2129", "2273", "2281", "2393", "2441", "2473", "2593", "2657", "2689" ]
[ "nonn" ]
26
1
1
[ "A007519", "A007522", "A014754", "A040098", "A065909", "A065910", "A065911", "A065912", "A070179" ]
null
Warren D. Smith
2014-06-06T18:20:01
oeisdata/seq/A014/A014754.seq
3445ecc81e8b00b6fc0da00cf2151c14
A014755
3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.
[ "193", "313", "433", "577", "601", "673", "769", "937", "1201", "1297", "1321", "1657", "1801", "1993", "2137", "2473", "2521", "2593", "2833", "2953", "3169", "3529", "3673", "3697", "3769", "3889", "4057", "4129", "4153", "4297", "4441", "4513", "4561", "4801", "4969", "5113", "5209", "5233", "5281", "5449", "5521" ]
[ "nonn" ]
23
1
1
[ "A007519", "A014755" ]
null
Warren D. Smith
2024-05-02T17:33:11
oeisdata/seq/A014/A014755.seq
bbdcda567e65af9c45d4a38a292420af
A014756
Squares of numbers in array formed from odd elements to the right of middle of rows of triangle of Eulerian numbers.
[ "1", "1", "121", "1", "1", "3249", "1", "1418481", "1", "243953161", "18429849", "61009", "1", "1", "1026169", "1", "23298053769", "1", "103788925659225", "228743149441", "16670889", "1", "179167257871956225", "1", "164949400968114956769", "6613857814673730625" ]
[ "nonn", "tabf" ]
13
1
3
null
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014756.seq
63422d52f4c5d2cdf112c0ef1ded2383
A014757
Inverse of 748th cyclotomic polynomial.
[ "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:16:47
oeisdata/seq/A014/A014757.seq
1ec2848ec4d0f4120624ad4792b0e111
A014758
Squares of numbers in array formed from odd elements to the right of middle of rows of triangle of Eulerian numbers that are not 1.
[ "121", "3249", "1418481", "243953161", "18429849", "61009", "1026169", "23298053769", "103788925659225", "228743149441", "16670889", "179167257871956225", "164949400968114956769", "6613857814673730625", "267944161", "96962236444170209724921" ]
[ "nonn" ]
12
1
1
[ "A014470", "A014758" ]
null
Mohammad K. Azarian
2018-11-19T19:19:12
oeisdata/seq/A014/A014758.seq
fc999e25fbf983fcdfe748ff27efa2ac
A014759
Squares of numbers in array formed from even elements to the right of middle of rows of triangle of Eulerian numbers.
[ "676", "91204", "14400", "7785238756", "213393664", "252004", "1717027605316", "207199756864", "2288665600", "94830864276996", "4855359366144", "4145296", "26410243100945796", "4398139993688676", "2266896125352194064" ]
[ "nonn", "tabf", "easy" ]
13
1
1
[ "A014472", "A014759" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014759.seq
efb8cf438b442faeb70664c15dbe60b1
A014760
Squares of numbers in array formed from odd elements to the right of middle of rows of Pascal triangle that are not 1.
[ "9", "25", "225", "1225", "441", "49", "81", "2025", "27225", "3025", "121", "245025", "1656369", "511225", "169", "9018009", "1002001", "8281", "41409225", "25050025", "9018009", "1863225", "207025", "11025", "225", "289", "23409", "938961", "29241", "361", "23474025", "414081801", "35820225", "441" ]
[ "nonn", "tabf" ]
8
0
1
null
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014760.seq
2ca46df759db9a3f596d9fdd37180a6f
A014761
Squares of numbers in array formed from odd elements to the right of middle of rows of Pascal triangle.
[ "1", "1", "9", "1", "1", "25", "1", "225", "1", "1225", "441", "49", "1", "1", "81", "1", "2025", "1", "27225", "3025", "121", "1", "245025", "1", "1656369", "511225", "169", "1", "9018009", "1002001", "8281", "1", "41409225", "25050025", "9018009", "1863225", "207025", "11025", "225", "1", "1", "289", "1", "23409", "1", "938961" ]
[ "nonn", "tabf" ]
13
1
3
null
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014761.seq
de46dd3ef6f4776d6c2ef0c1d53d0601
A014762
Squares of numbers in array formed from even elements to the right of middle of rows of Pascal triangle.
[ "16", "100", "36", "3136", "784", "64", "15876", "7056", "1296", "44100", "14400", "100", "213444", "108900", "627264", "48400", "4356", "144", "2944656", "81796", "6084", "4008004", "132496", "196", "130873600", "64128064", "19079424", "3312400", "313600", "14400", "256", "590976100", "378224704" ]
[ "nonn", "tabf" ]
16
1
1
null
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014762.seq
8e09b197a31871a380caf4aed5012d14
A014763
Inverse of 754th cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:17:32
oeisdata/seq/A014/A014763.seq
f0793d4fff7aa9a04c710648943e2c7e
A014764
Squares of distinct elements in Pascal triangle.
[ "1", "4", "9", "16", "36", "25", "100", "225", "400", "49", "441", "1225", "64", "784", "3136", "4900", "81", "1296", "7056", "15876", "2025", "14400", "44100", "63504", "121", "3025", "27225", "108900", "213444", "144", "4356", "48400", "245025", "627264", "853776", "169", "6084", "81796", "511225", "1656369", "2944656", "196" ]
[ "nonn", "tabf" ]
18
1
2
[ "A014631", "A014764" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014764.seq
69341af8f9be3ebb7e2908ec9931fa84
A014765
Squares of distinct elements in triangle of Eulerian numbers.
[ "1", "16", "121", "676", "4356", "3249", "91204", "14400", "1418481", "5837056", "61009", "18429849", "243953161", "252004", "213393664", "7785238756", "24395316100", "1026169", "2288665600", "207199756864", "1717027605316", "4145296", "23298053769", "4855359366144", "94830864276996", "247251975165504" ]
[ "nonn", "easy" ]
17
1
2
[ "A014630", "A014765" ]
null
Mohammad K. Azarian
2025-07-02T16:01:55
oeisdata/seq/A014/A014765.seq
124512438c77b51d88332000128cc0c1
A014766
Numbers k such that the 3k shuffle group does not accomplish a perfect shuffle.
[ "9", "12", "24", "27", "36", "48", "60", "72", "81", "84", "96", "108", "120" ]
[ "nonn", "more", "nice" ]
17
1
1
[ "A014525", "A014766" ]
null
N. J. A. Sloane
2021-12-17T00:57:02
oeisdata/seq/A014/A014766.seq
addc43f7936dda98b839de7fedf61c3a
A014767
Order of shuffle group on n cards {0..n-1} generated by i->n-1-i and i->min{2i,2n-1-2i}.
[ "1", "2", "6", "12", "60", "120", "5040", "32", "181440", "3628800", "39916800", "95040", "3113510400", "87178291200", "1307674368000", "80", "177843714048000", "6402373705728000", "121645100408832000", "1216451004088320000", "25545471085854720000" ]
[ "nonn", "easy", "nice" ]
10
1
2
null
null
N. J. A. Sloane
2022-08-14T16:43:21
oeisdata/seq/A014/A014767.seq
bdc4e3b486d905b4495c52acf1ea358f
A014768
Inverse of 759th cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "0", "1", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:18:46
oeisdata/seq/A014/A014768.seq
29c00cc7da1184c1a2aea4e91ca2a287
A014769
Squares of odd pentagonal numbers.
[ "1", "25", "1225", "2601", "13689", "21025", "61009", "82369", "180625", "227529", "423801", "511225", "855625", "1002001", "1555009", "1782225", "2614689", "2948089", "4141225", "4609609", "6255001", "6890625", "9090225", "9928801", "12794929", "13875625", "17530969", "18896409", "23474025", "25170289", "30813601" ]
[ "nonn", "easy" ]
24
0
2
[ "A014632", "A014769", "A100255" ]
null
Mohammad K. Azarian
2025-04-07T17:13:31
oeisdata/seq/A014/A014769.seq
02eb2194f03b8e88c57980841490809b
A014770
Squares of even pentagonal numbers.
[ "0", "144", "484", "4900", "8464", "30976", "44100", "108900", "141376", "283024", "348100", "611524", "725904", "1166400", "1350244", "2033476", "2310400", "3312400", "3709476", "5116644", "5664400", "7573504", "8305924", "10824100", "11778624", "15023376", "16240900", "20340100" ]
[ "nonn", "easy" ]
16
0
2
[ "A014633", "A014770", "A100255" ]
null
Mohammad K. Azarian
2020-01-23T16:47:51
oeisdata/seq/A014/A014770.seq
3585a768fa5369a8dde6d5e2ee0a13c0
A014771
Squares of odd hexagonal numbers.
[ "1", "225", "2025", "8281", "23409", "53361", "105625", "189225", "314721", "494209", "741321", "1071225", "1500625", "2047761", "2732409", "3575881", "4601025", "5832225", "7295401", "9018009", "11029041", "13359025", "16040025", "19105641", "22591009", "26532801", "30969225", "35940025", "41486481", "47651409" ]
[ "nonn", "easy" ]
29
1
2
[ "A003215", "A006752", "A014634", "A014771" ]
null
Mohammad K. Azarian
2022-02-27T05:46:58
oeisdata/seq/A014/A014771.seq
d6594297fc69d0ad60624b05a5bfd6cf
A014772
Squares of even hexagonal numbers.
[ "36", "784", "4356", "14400", "36100", "76176", "142884", "246016", "396900", "608400", "894916", "1272384", "1758276", "2371600", "3132900", "4064256", "5189284", "6533136", "8122500", "9985600", "12152196", "14653584", "17522596", "20793600", "24502500", "28686736" ]
[ "nonn", "easy" ]
13
1
1
[ "A014635", "A014772" ]
null
Mohammad K. Azarian
2015-07-30T15:00:12
oeisdata/seq/A014/A014772.seq
8f7ff5938a81304d4e7c99a85a3f497b
A014773
Squares of odd heptagonal numbers.
[ "1", "49", "3025", "6561", "35721", "55225", "162409", "219961", "485809", "613089", "1147041", "1385329", "2325625", "2725801", "4239481", "4862025", "7144929", "8059921", "11336689", "12623809", "17147881", "18896409", "24950025", "27258841", "35153041", "38130625", "48205249", "51969681", "64593369", "69272329" ]
[ "nonn", "easy" ]
12
1
2
[ "A000566", "A014637", "A014640", "A014773", "A014792" ]
null
Mohammad K. Azarian
2015-12-17T09:43:12
oeisdata/seq/A014/A014773.seq
80cc091a2aec073461c1af2010d0add6
A014774
Inverse of 765th cyclotomic polynomial.
[ "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "0", "0", "0", "1", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0", "-1", "0", "0", "1", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:19:54
oeisdata/seq/A014/A014774.seq
69d1c6bfd42162c500f3105eddd5c651
A014775
Expansion of exp ( - x - (1/2)*x^2 - (1/6)*x^3).
[ "1", "-1", "0", "1", "2", "-6", "-14", "20", "204", "28", "-2584", "-6876", "33760", "219296", "-121848", "-6020456", "-15177904", "126126960", "950679424", "-898745392", "-38731873824", "-123922308896", "1126028191520", "10547325457536", "-5093629711808" ]
[ "sign", "changed" ]
10
0
5
[ "A001464", "A001680", "A014775" ]
null
N. J. A. Sloane
2025-07-08T05:41:44
oeisdata/seq/A014/A014775.seq
d747891b33d3f5fea6df75c79be1a513
A014776
Inverse of 767th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:21:14
oeisdata/seq/A014/A014776.seq
7c1e9081f0d5c3c992a7b7b1c9fb7928
A014777
Position of the start of the first occurrence of n after the decimal point in Pi = 3.14159265358979323846264338327950288...
[ "32", "1", "6", "9", "2", "4", "7", "13", "11", "5", "49", "94", "148", "110", "1", "3", "40", "95", "424", "37", "53", "93", "135", "16", "292", "89", "6", "28", "33", "186", "64", "137", "15", "24", "86", "9", "285", "46", "17", "43", "70", "2", "92", "23", "59", "60", "19", "119", "87", "57", "31", "48", "172", "8", "191", "130", "210", "404", "10", "4", "127", "219", "20", "312", "22", "7", "117", "98", "605" ]
[ "nonn", "base" ]
46
0
1
[ "A000796", "A014777", "A036974", "A037000", "A037001", "A037002", "A037003", "A037004", "A037005", "A037006", "A037007", "A037008", "A078197", "A103186" ]
null
Paul Simon (paulsimn(AT)microtec.net) and Simon Plouffe
2022-06-22T07:43:22
oeisdata/seq/A014/A014777.seq
8c9ced1ea0dd293081c246dced4a0b1c
A014778
Numbers k equal to the number of 1's in the decimal digits of all numbers <= k.
[ "0", "1", "199981", "199982", "199983", "199984", "199985", "199986", "199987", "199988", "199989", "199990", "200000", "200001", "1599981", "1599982", "1599983", "1599984", "1599985", "1599986", "1599987", "1599988", "1599989", "1599990", "2600000", "2600001", "13199998", "35000000" ]
[ "base", "fini", "nonn", "full" ]
51
1
3
[ "A014778", "A094798", "A101639", "A101640", "A101641", "A130427", "A130428", "A130429", "A130430", "A130431", "A130432", "A165617" ]
null
Yves Babe, Maurice Protat, Olivier Gérard
2025-02-16T08:32:33
oeisdata/seq/A014/A014778.seq
ec970a24d120d9ddb458772b9f0b2a83
A014779
Inverse of 770th cyclotomic polynomial.
[ "1", "1", "0", "0", "0", "-1", "-1", "-1", "-1", "0", "1", "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "1", "0", "-1", "0", "0", "0", "0", "0", "0", "1", "0", "-1", "0", "1", "0", "0", "0", "0", "0", "0", "-1", "0", "1", "0", "-1", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0", "1", "0", "-1", "-1", "-1", "-1", "0", "0", "0", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "1", "1", "0", "0" ]
[ "sign" ]
11
0
1
null
null
Simon Plouffe
2017-04-06T11:29:17
oeisdata/seq/A014/A014779.seq
9bf948b30c3540d798b4cfb6df72f3d8
A014780
Triangle of numbers associated with Genocchi numbers.
[ "1", "1", "1", "1", "3", "3", "5", "3", "3", "17", "17", "31", "25", "31", "17", "17", "155", "155", "293", "259", "349", "259", "293", "155", "155", "2073", "2073", "3991", "3681", "5151", "4289", "5151", "3681", "3991", "2073", "2073", "38227", "38227", "74381", "70235", "100325", "88507", "109765", "88507", "100325", "70235", "74381", "38227" ]
[ "tabf", "nonn", "easy" ]
22
1
5
[ "A014780", "A014782", "A014783", "A014784", "A110501" ]
null
N. J. A. Sloane
2022-06-03T03:24:57
oeisdata/seq/A014/A014780.seq
5433dcd8dceee970391000db3f3862ea
A014781
Seidel's triangle, read by rows.
[ "1", "1", "1", "1", "2", "1", "2", "3", "3", "8", "6", "3", "8", "14", "17", "17", "56", "48", "34", "17", "56", "104", "138", "155", "155", "608", "552", "448", "310", "155", "608", "1160", "1608", "1918", "2073", "2073", "9440", "8832", "7672", "6064", "4146", "2073", "9440", "18272", "25944", "32008", "36154", "38227" ]
[ "tabf", "nonn" ]
57
1
5
[ "A001469", "A005439", "A014781" ]
null
N. J. A. Sloane
2025-04-27T12:31:05
oeisdata/seq/A014/A014781.seq
bc75e424e2c4dffab4b4545748046b1f
A014782
Triangle of numbers associated with Genocchi numbers.
[ "1", "1", "1", "3", "5", "3", "17", "31", "25", "31", "17", "155", "293", "259", "349", "259", "293", "155", "2073", "3991", "3681", "5151", "4289", "5151", "3681", "3991", "2073", "38227", "74381", "70235", "100325", "88507", "109765", "88507", "100325", "70235", "74381", "38227", "929569", "1820911", "1744457", "2523191", "2302121" ]
[ "tabl", "nonn", "changed" ]
9
1
4
null
null
N. J. A. Sloane
2025-07-08T05:41:50
oeisdata/seq/A014/A014782.seq
aded540b2623965ff749a2341c7ee289
A014783
Triangle of numbers associated with Genocchi numbers.
[ "1", "3", "3", "17", "25", "17", "155", "259", "259", "155", "2073", "3681", "4289", "3681", "2073", "38227", "70235", "88507", "88507", "70235", "38227", "929569", "1744457", "2302121", "2500393", "2302121", "1744457", "929569", "28820619", "54852531", "74568595", "85191699", "85191699", "74568595" ]
[ "tabl", "nonn", "changed" ]
9
1
2
null
null
N. J. A. Sloane
2025-07-08T05:41:55
oeisdata/seq/A014/A014783.seq
af10e7e56e1bf8956adb6add0dd38f98
A014784
Triangle of numbers associated with Genocchi numbers.
[ "1", "1", "1", "2", "3", "2", "7", "12", "12", "7", "38", "69", "81", "69", "38", "295", "552", "702", "702", "552", "295", "3098", "5901", "7857", "8559", "7857", "5901", "3098", "42271", "81444", "111618", "128034", "128034", "111618", "81444", "42271", "726734", "1411197", "1971945", "2339631", "2467665", "2339631", "1971945" ]
[ "tabl", "nonn", "easy", "changed" ]
15
0
4
[ "A000366", "A014784", "A035003", "A102078" ]
null
N. J. A. Sloane
2025-07-08T05:42:01
oeisdata/seq/A014/A014784.seq
55487960a24f077baca0d1758d8351f4
A014785
a(n) = Sum_{0<=k<=n} ceiling(k^2/n).
[ "1", "3", "6", "9", "13", "18", "24", "30", "35", "43", "52", "61", "69", "80", "92", "102", "113", "125", "140", "155", "169", "184", "202", "220", "231", "251", "270", "291", "309", "332", "354", "376", "397", "419", "446", "469", "493", "520", "550", "578", "601", "631", "660", "693", "721", "754", "788" ]
[ "nonn", "changed" ]
19
1
2
[ "A014785", "A014817", "A177041" ]
null
N. J. A. Sloane
2025-07-08T05:42:06
oeisdata/seq/A014/A014785.seq
4a454686c2f0562107551e786e7cff31
A014786
Inverse of 777th cyclotomic polynomial.
[ "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1", "0", "-1", "1", "0", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "-1", "0", "1", "-1", "0", "1" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2017-04-06T11:30:32
oeisdata/seq/A014/A014786.seq
cf426beccfc32d595718d4573b39c5e0
A014787
Expansion of Jacobi theta constant (theta_2/2)^12.
[ "1", "12", "66", "232", "627", "1452", "2982", "5544", "9669", "16016", "25158", "38160", "56266", "80124", "111816", "153528", "205260", "270876", "353870", "452496", "574299", "724044", "895884", "1103520", "1353330", "1633500", "1966482", "2360072", "2792703", "3299340", "3892922", "4533936", "5273841", "6134448" ]
[ "nonn" ]
36
0
2
[ "A000217", "A000735", "A001160", "A007331", "A008438", "A008439", "A008440", "A008441", "A008443", "A010054", "A014787", "A014809", "A226252", "A226253", "A226254", "A226255", "A286180" ]
null
N. J. A. Sloane
2017-08-01T11:50:07
oeisdata/seq/A014/A014787.seq
d7b8a19824c61e373d78e36e8f9c8c36
A014788
Inverse of 779th cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2018-04-01T14:46:42
oeisdata/seq/A014/A014788.seq
32ee4ed2d118e78a35eb3c8a2a17a2df
A014789
Inverse of 780th cyclotomic polynomial.
[ "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "1", "0", "0", "0", "-1", "0", "-1", "0", "-1", "0", "0", "0", "1", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
13
0
1
null
null
Simon Plouffe
2024-08-18T15:04:07
oeisdata/seq/A014/A014789.seq
b1b558143f9b96d2725d89d800a4ceff
A014790
Inverse of 781st cyclotomic polynomial.
[ "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1", "-1" ]
[ "sign" ]
14
0
1
null
null
Simon Plouffe
2017-04-06T11:35:25
oeisdata/seq/A014/A014790.seq
7594f6fd752d03b22c6de21fefea2f8d
A014791
Inverse of 782nd cyclotomic polynomial.
[ "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "-1", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ]
[ "sign" ]
18
0
1
null
null
Simon Plouffe
2017-08-23T15:42:23
oeisdata/seq/A014/A014791.seq
6a82971690cbd5cc4dd45f08865ea33d
A014792
Squares of even heptagonal numbers.
[ "0", "324", "1156", "12544", "21904", "81796", "116964", "291600", "379456", "763876", "940900", "1658944", "1971216", "3175524", "3678724", "5550736", "6310144", "9060100", "10150596", "14017536", "15523600", "20775364", "22791076", "29724304", "32353344", "41293476", "44649124", "55950400", "60155536", "74200996" ]
[ "nonn", "easy" ]
19
0
2
[ "A000566", "A014637", "A014640", "A014773", "A014792" ]
null
Mohammad K. Azarian
2019-10-06T17:27:35
oeisdata/seq/A014/A014792.seq
a8e9cf39ba498ed273284a8dfd20f3dd
A014793
Squares of odd octagonal numbers.
[ "1", "441", "4225", "17689", "50625", "116281", "231361", "416025", "693889", "1092025", "1640961", "2374681", "3330625", "4549689", "6076225", "7958041", "10246401", "12996025", "16265089", "20115225", "24611521", "29822521", "35820225", "42680089", "50481025", "59305401" ]
[ "nonn", "easy" ]
16
0
2
[ "A000567", "A014641", "A014642", "A014793", "A014794" ]
null
Mohammad K. Azarian
2022-04-16T11:35:47
oeisdata/seq/A014/A014793.seq
a441289a7252912e67df31c51d944c69
A014794
Squares of even octagonal numbers.
[ "0", "64", "1600", "9216", "30976", "78400", "166464", "313600", "541696", "876096", "1345600", "1982464", "2822400", "3904576", "5271616", "6969600", "9048064", "11560000", "14561856", "18113536", "22278400", "27123264", "32718400", "39137536", "46457856", "54760000" ]
[ "nonn", "easy" ]
26
0
2
[ "A000567", "A014641", "A014642", "A014793", "A014794" ]
null
Mohammad K. Azarian
2022-04-16T11:35:52
oeisdata/seq/A014/A014794.seq
4a9b2048d6dcdcea78e9e1f716f3cb7b
A014795
Squares of odd tetrahedral numbers.
[ "1", "1225", "27225", "207025", "938961", "3136441", "8555625", "20205025", "42837025", "83521321", "152300281", "262926225", "433680625", "688275225", "1056835081", "1576963521", "2294889025", "3266694025", "4559625625", "6253488241", "8442118161", "11234940025", "14758605225", "19158712225", "24601608801" ]
[ "nonn", "easy" ]
13
0
2
[ "A000292", "A014795", "A014796", "A015219" ]
null
Mohammad K. Azarian
2022-03-07T03:12:50
oeisdata/seq/A014/A014795.seq
2083ae78621aa195e4a34b94b62396d0
A014796
Squares of even tetrahedral numbers (A015220).
[ "0", "16", "100", "400", "3136", "7056", "14400", "48400", "81796", "132496", "313600", "462400", "665856", "1299600", "1768900", "2371600", "4096576", "5290000", "6760000", "10732176", "13351716", "16483600", "24601600", "29767936", "35808256", "50979600", "60372900", "71166096", "97614400", "113635600", "131790400", "175403536" ]
[ "nonn", "easy", "changed" ]
26
0
2
[ "A000292", "A014795", "A014796", "A015220" ]
null
Mohammad K. Azarian
2025-07-16T11:43:07
oeisdata/seq/A014/A014796.seq
670793f516028a6789b63bfdbc17210f
A014797
Squares of odd square pyramidal numbers.
[ "1", "25", "3025", "8281", "81225", "148225", "670761", "1030225", "3186225", "4447881", "10962721", "14402025", "30525625", "38452401", "73188025", "89397025", "156975841", "187279225", "308880625", "361722361", "567440041", "654592225", "985646025", "1122987121", "1634180625", "1842555625", "2604979521", "2911142025" ]
[ "nonn", "easy" ]
28
0
2
[ "A014797", "A014798", "A015221" ]
null
Mohammad K. Azarian
2022-03-07T03:13:16
oeisdata/seq/A014/A014797.seq
089328ec9c1c9e5449e664ea2dc73568
A014798
Squares of even square pyramidal numbers.
[ "196", "900", "19600", "41616", "256036", "422500", "1537600", "2238016", "6100900", "8236900", "18696976", "24010000", "48024900", "59505796", "108493056", "130873600", "222308100", "262634436", "421891600", "490179600", "752624356", "862596900", "1275918400", "1445824576", "2072616676", "2326132900", "3246720400" ]
[ "nonn", "easy" ]
27
0
1
[ "A014797", "A014798", "A015222" ]
null
Mohammad K. Azarian
2022-03-07T03:07:37
oeisdata/seq/A014/A014798.seq
5134fb2afe9bec1b2ecdc2a2ee68b28e
A014799
Squares of odd pentagonal pyramidal numbers.
[ "1", "5625", "164025", "1399489", "6765201", "23532201", "66015625", "159138225", "342731169", "676572121", "1246160601", "2169230625", "3603000625", "5752160649", "8877596841", "13305853201", "19439330625", "27767223225", "38877191929", "53467775361" ]
[ "nonn", "easy" ]
35
0
2
[ "A002411", "A014799", "A014800", "A015223", "A015224" ]
null
Mohammad K. Azarian
2025-02-16T08:32:33
oeisdata/seq/A014/A014799.seq
7bd81c078ab12f8ec64c46abf70af96e
A014800
Squares of even pentagonal pyramidal numbers.
[ "0", "36", "324", "1600", "15876", "38416", "82944", "302500", "527076", "876096", "2160900", "3240000", "4734976", "9474084", "13032100", "17640000", "30980356", "40297104", "51840000", "83283876", "104162436", "129231424", "194602500", "236421376", "285474816", "409252900", "486202500" ]
[ "nonn", "easy" ]
30
0
2
[ "A002411", "A014799", "A014800", "A015223", "A015224" ]
null
Mohammad K. Azarian
2025-02-16T08:32:33
oeisdata/seq/A014/A014800.seq
821fac815a5dc1e7f152a5ff10f11c7a