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666,262,453B
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timestamp[us]date 1999-12-11 03:00:00
2025-07-14 02:38:35
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
A010001 | a(0) = 1, a(n) = 5*n^2 + 2 for n>0. | [
"1",
"7",
"22",
"47",
"82",
"127",
"182",
"247",
"322",
"407",
"502",
"607",
"722",
"847",
"982",
"1127",
"1282",
"1447",
"1622",
"1807",
"2002",
"2207",
"2422",
"2647",
"2882",
"3127",
"3382",
"3647",
"3922",
"4207",
"4502",
"4807",
"5122",
"5447",
"5782",
"6127",
"6482",
"6847",
"7222",
"7607",
"8002",
"8407",
"8822",
"9247",
"9682",
"10127",
"10582"
]
| [
"nonn",
"easy"
]
| 36 | 0 | 2 | [
"A001845",
"A005893",
"A005894",
"A005897",
"A005898",
"A005899",
"A005901",
"A005902",
"A007202",
"A007899",
"A008137",
"A008706",
"A010001",
"A063489",
"A206399",
"A299254",
"A299255",
"A299256",
"A299257",
"A299258",
"A299259",
"A299260",
"A299261",
"A299262",
"A299263",
"A299264",
"A299265",
"A299266",
"A299267",
"A299268",
"A299269",
"A299272",
"A299273",
"A299274",
"A299275",
"A299276",
"A299277",
"A299278",
"A299279",
"A299280",
"A299281",
"A299282",
"A299283",
"A299284",
"A299285",
"A299286",
"A299287",
"A299288",
"A299289",
"A299290",
"A299291",
"A299292"
]
| null | N. J. A. Sloane | 2024-05-07T04:52:26 | oeisdata/seq/A010/A010001.seq | 63c4c8ea59ddc44b4108967446f0a936 |
A010002 | a(0) = 1, a(n) = 9*n^2 + 2 for n>0. | [
"1",
"11",
"38",
"83",
"146",
"227",
"326",
"443",
"578",
"731",
"902",
"1091",
"1298",
"1523",
"1766",
"2027",
"2306",
"2603",
"2918",
"3251",
"3602",
"3971",
"4358",
"4763",
"5186",
"5627",
"6086",
"6563",
"7058",
"7571",
"8102",
"8651",
"9218",
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"10406",
"11027",
"11666",
"12323",
"12998",
"13691",
"14402",
"15131",
"15878",
"16643"
]
| [
"nonn",
"easy",
"changed"
]
| 42 | 0 | 2 | [
"A010002",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:26:38 | oeisdata/seq/A010/A010002.seq | 2b4b68ac23f9e0bec89eedc82a5be53b |
A010003 | a(0) = 1, a(n) = 11*n^2 + 2 for n>0. | [
"1",
"13",
"46",
"101",
"178",
"277",
"398",
"541",
"706",
"893",
"1102",
"1333",
"1586",
"1861",
"2158",
"2477",
"2818",
"3181",
"3566",
"3973",
"4402",
"4853",
"5326",
"5821",
"6338",
"6877",
"7438",
"8021",
"8626",
"9253",
"9902",
"10573",
"11266",
"11981",
"12718",
"13477",
"14258",
"15061",
"15886",
"16733",
"17602",
"18493",
"19406"
]
| [
"nonn",
"easy",
"changed"
]
| 37 | 0 | 2 | [
"A010003",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:26:44 | oeisdata/seq/A010/A010003.seq | ceb0fd2a8b70914b28f589453fa2d8b1 |
A010004 | a(0) = 1, a(n) = 13*n^2 + 2 for n>0. | [
"1",
"15",
"54",
"119",
"210",
"327",
"470",
"639",
"834",
"1055",
"1302",
"1575",
"1874",
"2199",
"2550",
"2927",
"3330",
"3759",
"4214",
"4695",
"5202",
"5735",
"6294",
"6879",
"7490",
"8127",
"8790",
"9479",
"10194",
"10935",
"11702",
"12495",
"13314",
"14159",
"15030",
"15927",
"16850",
"17799",
"18774",
"19775",
"20802",
"21855",
"22934"
]
| [
"nonn",
"easy",
"changed"
]
| 30 | 0 | 2 | [
"A010004",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:26:50 | oeisdata/seq/A010/A010004.seq | 68dcd14b6ed88547627bfc3670a7e9f3 |
A010005 | a(0) = 1, a(n) = 15*n^2 + 2 for n>0. | [
"1",
"17",
"62",
"137",
"242",
"377",
"542",
"737",
"962",
"1217",
"1502",
"1817",
"2162",
"2537",
"2942",
"3377",
"3842",
"4337",
"4862",
"5417",
"6002",
"6617",
"7262",
"7937",
"8642",
"9377",
"10142",
"10937",
"11762",
"12617",
"13502",
"14417",
"15362",
"16337",
"17342",
"18377",
"19442",
"20537",
"21662",
"22817",
"24002",
"25217",
"26462"
]
| [
"nonn",
"easy",
"changed"
]
| 30 | 0 | 2 | [
"A010005",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:26:56 | oeisdata/seq/A010/A010005.seq | 6cd3192319faf17f5e37afa98125ef99 |
A010006 | Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1. | [
"1",
"18",
"66",
"146",
"258",
"402",
"578",
"786",
"1026",
"1298",
"1602",
"1938",
"2306",
"2706",
"3138",
"3602",
"4098",
"4626",
"5186",
"5778",
"6402",
"7058",
"7746",
"8466",
"9218",
"10002",
"10818",
"11666",
"12546",
"13458",
"14402",
"15378",
"16386",
"17426",
"18498",
"19602",
"20738",
"21906",
"23106",
"24338",
"25602",
"26898"
]
| [
"nonn",
"easy"
]
| 71 | 0 | 2 | [
"A010006",
"A019560",
"A019564",
"A022144",
"A035746",
"A035787",
"A137513",
"A206399"
]
| null | N. J. A. Sloane, mbaake(AT)sunelc3.tphys.physik.uni-tuebingen.de (Michael Baake) | 2025-01-23T16:29:09 | oeisdata/seq/A010/A010006.seq | ca84b0708084680fc9548fcf3d7a1885 |
A010007 | a(0) = 1, a(n) = 17*n^2 + 2 for n>0. | [
"1",
"19",
"70",
"155",
"274",
"427",
"614",
"835",
"1090",
"1379",
"1702",
"2059",
"2450",
"2875",
"3334",
"3827",
"4354",
"4915",
"5510",
"6139",
"6802",
"7499",
"8230",
"8995",
"9794",
"10627",
"11494",
"12395",
"13330",
"14299",
"15302",
"16339",
"17410",
"18515",
"19654",
"20827",
"22034",
"23275",
"24550",
"25859",
"27202",
"28579"
]
| [
"nonn",
"easy",
"changed"
]
| 40 | 0 | 2 | [
"A010007",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:02 | oeisdata/seq/A010/A010007.seq | 976fadbeb3814a6756cac0f916682239 |
A010008 | a(0) = 1, a(n) = 18*n^2 + 2 for n>0. | [
"1",
"20",
"74",
"164",
"290",
"452",
"650",
"884",
"1154",
"1460",
"1802",
"2180",
"2594",
"3044",
"3530",
"4052",
"4610",
"5204",
"5834",
"6500",
"7202",
"7940",
"8714",
"9524",
"10370",
"11252",
"12170",
"13124",
"14114",
"15140",
"16202",
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"18434",
"19604",
"20810",
"22052",
"23330",
"24644",
"25994",
"27380",
"28802",
"30260"
]
| [
"nonn",
"easy",
"changed"
]
| 47 | 0 | 2 | [
"A000408",
"A010008",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:08 | oeisdata/seq/A010/A010008.seq | d00a4bb5f4d8c042ad2d45d3d353e3e7 |
A010009 | a(0) = 1, a(n) = 19*n^2 + 2 for n>0. | [
"1",
"21",
"78",
"173",
"306",
"477",
"686",
"933",
"1218",
"1541",
"1902",
"2301",
"2738",
"3213",
"3726",
"4277",
"4866",
"5493",
"6158",
"6861",
"7602",
"8381",
"9198",
"10053",
"10946",
"11877",
"12846",
"13853",
"14898",
"15981",
"17102",
"18261",
"19458",
"20693",
"21966",
"23277",
"24626",
"26013",
"27438",
"28901",
"30402",
"31941"
]
| [
"nonn",
"easy",
"changed"
]
| 36 | 0 | 2 | [
"A010009",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:15 | oeisdata/seq/A010/A010009.seq | bbeb451461b450e148fe3b91b28e78f5 |
A010010 | a(0) = 1, a(n) = 20*n^2 + 2 for n>0. | [
"1",
"22",
"82",
"182",
"322",
"502",
"722",
"982",
"1282",
"1622",
"2002",
"2422",
"2882",
"3382",
"3922",
"4502",
"5122",
"5782",
"6482",
"7222",
"8002",
"8822",
"9682",
"10582",
"11522",
"12502",
"13522",
"14582",
"15682",
"16822",
"18002",
"19222",
"20482",
"21782",
"23122",
"24502",
"25922",
"27382",
"28882",
"30422",
"32002",
"33622"
]
| [
"nonn",
"easy",
"changed"
]
| 42 | 0 | 2 | [
"A010010",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:20 | oeisdata/seq/A010/A010010.seq | 297b4bf581b720608e98cb70467e9d73 |
A010011 | a(0) = 1, a(n) = 21*n^2 + 2 for n>0. | [
"1",
"23",
"86",
"191",
"338",
"527",
"758",
"1031",
"1346",
"1703",
"2102",
"2543",
"3026",
"3551",
"4118",
"4727",
"5378",
"6071",
"6806",
"7583",
"8402",
"9263",
"10166",
"11111",
"12098",
"13127",
"14198",
"15311",
"16466",
"17663",
"18902",
"20183",
"21506",
"22871",
"24278",
"25727",
"27218",
"28751",
"30326",
"31943",
"33602",
"35303"
]
| [
"nonn",
"easy",
"changed"
]
| 36 | 0 | 2 | [
"A010011",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:26 | oeisdata/seq/A010/A010011.seq | f4d7323138247b7dcafa6ab7c7d9461e |
A010012 | a(0) = 1, a(n) = 22*n^2 + 2 for n>0. | [
"1",
"24",
"90",
"200",
"354",
"552",
"794",
"1080",
"1410",
"1784",
"2202",
"2664",
"3170",
"3720",
"4314",
"4952",
"5634",
"6360",
"7130",
"7944",
"8802",
"9704",
"10650",
"11640",
"12674",
"13752",
"14874",
"16040",
"17250",
"18504",
"19802",
"21144",
"22530",
"23960",
"25434",
"26952",
"28514",
"30120",
"31770",
"33464",
"35202",
"36984"
]
| [
"nonn",
"easy",
"changed"
]
| 39 | 0 | 2 | [
"A010012",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:31 | oeisdata/seq/A010/A010012.seq | 8a80c3e1e43a84e3ce462fed529b79a2 |
A010013 | a(0) = 1, a(n) = 23*n^2 + 2 for n>0. | [
"1",
"25",
"94",
"209",
"370",
"577",
"830",
"1129",
"1474",
"1865",
"2302",
"2785",
"3314",
"3889",
"4510",
"5177",
"5890",
"6649",
"7454",
"8305",
"9202",
"10145",
"11134",
"12169",
"13250",
"14377",
"15550",
"16769",
"18034",
"19345",
"20702",
"22105",
"23554",
"25049",
"26590",
"28177",
"29810",
"31489",
"33214",
"34985",
"36802",
"38665"
]
| [
"nonn",
"easy",
"changed"
]
| 29 | 0 | 2 | [
"A010013",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:36 | oeisdata/seq/A010/A010013.seq | c112290ac2072f814818513e71f50386 |
A010014 | a(0) = 1, a(n) = 24*n^2 + 2 for n>0. | [
"1",
"26",
"98",
"218",
"386",
"602",
"866",
"1178",
"1538",
"1946",
"2402",
"2906",
"3458",
"4058",
"4706",
"5402",
"6146",
"6938",
"7778",
"8666",
"9602",
"10586",
"11618",
"12698",
"13826",
"15002",
"16226",
"17498",
"18818",
"20186",
"21602",
"23066",
"24578",
"26138",
"27746",
"29402",
"31106",
"32858",
"34658",
"36506",
"38402",
"40346"
]
| [
"nonn",
"easy"
]
| 56 | 0 | 2 | [
"A010014",
"A206399"
]
| null | N. J. A. Sloane | 2025-05-13T10:00:57 | oeisdata/seq/A010/A010014.seq | 5e96818e8f4c4e3f0043edc990143794 |
A010015 | a(0) = 1, a(n) = 25*n^2 + 2 for n > 0. | [
"1",
"27",
"102",
"227",
"402",
"627",
"902",
"1227",
"1602",
"2027",
"2502",
"3027",
"3602",
"4227",
"4902",
"5627",
"6402",
"7227",
"8102",
"9027",
"10002",
"11027",
"12102",
"13227",
"14402",
"15627",
"16902",
"18227",
"19602",
"21027",
"22502",
"24027",
"25602",
"27227",
"28902",
"30627",
"32402",
"34227",
"36102",
"38027",
"40002"
]
| [
"nonn",
"easy"
]
| 37 | 0 | 2 | [
"A010015",
"A206399"
]
| null | N. J. A. Sloane | 2024-05-07T06:03:56 | oeisdata/seq/A010/A010015.seq | 11f6193818c95a04829151360f93d015 |
A010016 | a(0) = 1, a(n) = 26*n^2 + 2 for n>0. | [
"1",
"28",
"106",
"236",
"418",
"652",
"938",
"1276",
"1666",
"2108",
"2602",
"3148",
"3746",
"4396",
"5098",
"5852",
"6658",
"7516",
"8426",
"9388",
"10402",
"11468",
"12586",
"13756",
"14978",
"16252",
"17578",
"18956",
"20386",
"21868",
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"24988",
"26626",
"28316",
"30058",
"31852",
"33698",
"35596",
"37546",
"39548",
"41602"
]
| [
"nonn",
"easy",
"changed"
]
| 28 | 0 | 2 | [
"A010016",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:42 | oeisdata/seq/A010/A010016.seq | 1bf58200040ba1e9255b3075bb9b04dd |
A010017 | a(0) = 1, a(n) = 27*n^2 + 2 for n>0. | [
"1",
"29",
"110",
"245",
"434",
"677",
"974",
"1325",
"1730",
"2189",
"2702",
"3269",
"3890",
"4565",
"5294",
"6077",
"6914",
"7805",
"8750",
"9749",
"10802",
"11909",
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"31214",
"33077",
"34994",
"36965",
"38990",
"41069",
"43202"
]
| [
"nonn",
"easy"
]
| 50 | 0 | 2 | [
"A010017",
"A206399"
]
| null | N. J. A. Sloane | 2024-05-07T05:21:48 | oeisdata/seq/A010/A010017.seq | 82d8e953329464c1693243d3af36bfb6 |
A010018 | a(0) = 1, a(n) = 28*n^2 + 2 for n>0. | [
"1",
"30",
"114",
"254",
"450",
"702",
"1010",
"1374",
"1794",
"2270",
"2802",
"3390",
"4034",
"4734",
"5490",
"6302",
"7170",
"8094",
"9074",
"10110",
"11202",
"12350",
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"34302",
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"42590",
"44802"
]
| [
"nonn",
"easy"
]
| 50 | 0 | 2 | [
"A010018",
"A206399"
]
| null | N. J. A. Sloane | 2024-05-07T06:05:55 | oeisdata/seq/A010/A010018.seq | 675f41ce7aecff154a3479c481d09c89 |
A010019 | a(0) = 1, a(n) = 29*n^2 + 2 for n>0. | [
"1",
"31",
"118",
"263",
"466",
"727",
"1046",
"1423",
"1858",
"2351",
"2902",
"3511",
"4178",
"4903",
"5686",
"6527",
"7426",
"8383",
"9398",
"10471",
"11602",
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"35527",
"37586",
"39703",
"41878",
"44111",
"46402"
]
| [
"nonn",
"easy",
"changed"
]
| 36 | 0 | 2 | [
"A010019",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:47 | oeisdata/seq/A010/A010019.seq | bd4cd22513b64962c8fe1d5d7634ac62 |
A010020 | a(0) = 1, a(n) = 31*n^2 + 2 for n>0. | [
"1",
"33",
"126",
"281",
"498",
"777",
"1118",
"1521",
"1986",
"2513",
"3102",
"3753",
"4466",
"5241",
"6078",
"6977",
"7938",
"8961",
"10046",
"11193",
"12402",
"13673",
"15006",
"16401",
"17858",
"19377",
"20958",
"22601",
"24306",
"26073",
"27902",
"29793",
"31746",
"33761",
"35838",
"37977",
"40178",
"42441",
"44766",
"47153",
"49602"
]
| [
"nonn",
"easy",
"changed"
]
| 28 | 0 | 2 | [
"A010020",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:53 | oeisdata/seq/A010/A010020.seq | 2c8a0f3a12851812948d7ebf2c0f5374 |
A010021 | a(0) = 1, a(n) = 32*n^2 + 2 for n > 0. | [
"1",
"34",
"130",
"290",
"514",
"802",
"1154",
"1570",
"2050",
"2594",
"3202",
"3874",
"4610",
"5410",
"6274",
"7202",
"8194",
"9250",
"10370",
"11554",
"12802",
"14114",
"15490",
"16930",
"18434",
"20002",
"21634",
"23330",
"25090",
"26914",
"28802",
"30754",
"32770",
"34850",
"36994",
"39202",
"41474",
"43810",
"46210",
"48674",
"51202"
]
| [
"nonn",
"easy",
"changed"
]
| 56 | 0 | 2 | [
"A010021",
"A158563",
"A158575",
"A206399",
"A244082",
"A274979"
]
| null | N. J. A. Sloane | 2025-07-08T01:27:58 | oeisdata/seq/A010/A010021.seq | f73ef62d6c60c9ccd642bb062b149484 |
A010022 | a(0) = 1, a(n) = 40*n^2 + 2 for n>0. | [
"1",
"42",
"162",
"362",
"642",
"1002",
"1442",
"1962",
"2562",
"3242",
"4002",
"4842",
"5762",
"6762",
"7842",
"9002",
"10242",
"11562",
"12962",
"14442",
"16002",
"17642",
"19362",
"21162",
"23042",
"25002",
"27042",
"29162",
"31362",
"33642",
"36002",
"38442",
"40962",
"43562",
"46242",
"49002",
"51842",
"54762",
"57762",
"60842"
]
| [
"nonn",
"easy",
"changed"
]
| 36 | 0 | 2 | [
"A010022",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:28:04 | oeisdata/seq/A010/A010022.seq | d9de5bdb00672b3bf00ae242cf1df814 |
A010023 | a(0) = 1, a(n) = 42*n^2 + 2 for n>0. | [
"1",
"44",
"170",
"380",
"674",
"1052",
"1514",
"2060",
"2690",
"3404",
"4202",
"5084",
"6050",
"7100",
"8234",
"9452",
"10754",
"12140",
"13610",
"15164",
"16802",
"18524",
"20330",
"22220",
"24194",
"26252",
"28394",
"30620",
"32930",
"35324",
"37802",
"40364",
"43010",
"45740",
"48554",
"51452",
"54434",
"57500",
"60650",
"63884"
]
| [
"nonn",
"easy",
"changed"
]
| 35 | 0 | 2 | [
"A010023",
"A206399"
]
| null | N. J. A. Sloane | 2025-07-08T01:28:10 | oeisdata/seq/A010/A010023.seq | 74e414d0276835a0dc5ab45f89374ebf |
A010024 | Coordination sequence for squashed {D_5}* lattice, perhaps the smallest example of a "non-superficial" lattice. | [
"1",
"12",
"72",
"292",
"862",
"2052",
"4212",
"7772",
"13242",
"21212",
"32352",
"47412",
"67222",
"92692",
"124812",
"164652",
"213362",
"272172",
"342392",
"425412",
"522702",
"635812",
"766372",
"916092",
"1086762",
"1280252",
"1498512",
"1743572",
"2017542",
"2322612",
"2661052",
"3035212",
"3447522",
"3900492",
"4396712"
]
| [
"nonn",
"easy",
"changed"
]
| 28 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:16 | oeisdata/seq/A010/A010024.seq | 054b673e8c03f25e6ead43ee64ab87fc |
A010025 | Crystal ball sequence for squashed {D_5}^* lattice, perhaps the smallest example of a "non-superficial" lattice. | [
"1",
"13",
"85",
"377",
"1239",
"3291",
"7503",
"15275",
"28517",
"49729",
"82081",
"129493",
"196715",
"289407",
"414219",
"578871",
"792233",
"1064405",
"1406797",
"1832209",
"2354911",
"2990723",
"3757095",
"4673187",
"5759949",
"7040201",
"8538713"
]
| [
"nonn",
"changed"
]
| 23 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:21 | oeisdata/seq/A010/A010025.seq | 11e4f06f4ab489f1b09ac41fb51edd0a |
A010026 | Triangle read by rows: number of permutations of 1..n by length of longest run. | [
"2",
"2",
"4",
"2",
"12",
"10",
"2",
"16",
"70",
"32",
"2",
"20",
"134",
"442",
"122",
"2",
"24",
"198",
"1164",
"3108",
"544",
"2",
"28",
"274",
"2048",
"10982",
"24216",
"2770",
"2",
"32",
"362",
"3204",
"22468",
"112354",
"208586",
"15872",
"2",
"36",
"462",
"4720",
"39420",
"264538",
"1245676",
"1972904",
"101042"
]
| [
"nonn",
"tabl",
"nice"
]
| 38 | 2 | 1 | [
"A001250",
"A001251",
"A001252",
"A001253",
"A010026",
"A211318",
"A230129",
"A230130",
"A230131",
"A230132",
"A230133"
]
| null | N. J. A. Sloane | 2025-06-28T22:19:19 | oeisdata/seq/A010/A010026.seq | 0dc37e8beb5ac8b1c031527c36cf11d1 |
A010027 | Triangle read by rows: T(n,k) is the number of permutations of [n] having k consecutive ascending pairs (0 <= k <= n-1). | [
"1",
"1",
"1",
"1",
"2",
"3",
"1",
"3",
"9",
"11",
"1",
"4",
"18",
"44",
"53",
"1",
"5",
"30",
"110",
"265",
"309",
"1",
"6",
"45",
"220",
"795",
"1854",
"2119",
"1",
"7",
"63",
"385",
"1855",
"6489",
"14833",
"16687",
"1",
"8",
"84",
"616",
"3710",
"17304",
"59332",
"133496",
"148329",
"1",
"9",
"108",
"924",
"6678",
"38934",
"177996",
"600732",
"1334961",
"1468457",
"1"
]
| [
"tabl",
"nonn"
]
| 46 | 1 | 5 | [
"A000166",
"A000255",
"A000274",
"A000313",
"A001260",
"A001261",
"A010027",
"A045943",
"A123513",
"A289632"
]
| null | N. J. A. Sloane | 2024-12-13T21:10:33 | oeisdata/seq/A010/A010027.seq | 8718c33a991cb23188482a9bd1cb36b4 |
A010028 | Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention. | [
"1",
"1",
"0",
"1",
"2",
"0",
"1",
"5",
"5",
"1",
"1",
"8",
"24",
"20",
"7",
"1",
"11",
"60",
"128",
"115",
"45",
"1",
"14",
"113",
"444",
"835",
"790",
"323",
"1",
"17",
"183",
"1099",
"3599",
"6423",
"6217",
"2621",
"1",
"20",
"270",
"2224",
"11060",
"32484",
"56410",
"55160",
"23811",
"1",
"23",
"374",
"3950",
"27152",
"118484",
"325322",
"554306",
"545135",
"239653"
]
| [
"tabl",
"nonn"
]
| 25 | 1 | 5 | [
"A000130",
"A000349",
"A001100",
"A001266",
"A001267",
"A001268",
"A001710",
"A002464",
"A010028",
"A086856"
]
| null | N. J. A. Sloane | 2022-07-26T03:04:47 | oeisdata/seq/A010/A010028.seq | 58b8d17e9483e6aa45cd179aeba89d5a |
A010029 | Irregular triangle read by rows: T(n,k) (n>=1, 0 <= k <= floor(n/2)) = number of permutations of 1..n with exactly floor(n/2) - k runs of consecutive pairs up. | [
"1",
"1",
"1",
"3",
"3",
"1",
"12",
"11",
"11",
"56",
"53",
"3",
"87",
"321",
"309",
"53",
"693",
"2175",
"2119",
"11",
"680",
"5934",
"17008",
"16687",
"309",
"8064",
"55674",
"150504",
"148329",
"53",
"5805",
"96370",
"572650",
"1485465",
"1468457",
"2119",
"95575"
]
| [
"tabf",
"nonn",
"nice"
]
| 27 | 1 | 4 | [
"A000142",
"A000255",
"A001277",
"A001278",
"A001279",
"A001280",
"A010029",
"A136123"
]
| null | N. J. A. Sloane | 2022-07-01T06:17:46 | oeisdata/seq/A010/A010029.seq | fcba61ab427d571c388bf47b581dd081 |
A010030 | Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2). | [
"1",
"1",
"0",
"3",
"0",
"3",
"8",
"1",
"25",
"28",
"7",
"17",
"155",
"143",
"45",
"259",
"1005",
"933",
"323",
"131",
"2770",
"7488",
"7150",
"2621",
"3177",
"27978",
"64164",
"62310",
"23811",
"1281",
"51433",
"294602",
"619986",
"607445",
"239653"
]
| [
"tabf",
"nonn",
"changed"
]
| 13 | 1 | 4 | [
"A000239",
"A000544",
"A001266",
"A001282",
"A002464",
"A010030"
]
| null | N. J. A. Sloane | 2025-07-08T01:28:27 | oeisdata/seq/A010/A010030.seq | 594d866606913a2ac0cc02dfba29eca3 |
A010031 | Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc.). | [
"1",
"0",
"620",
"13888",
"36518",
"13888",
"620",
"0",
"1"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 20 | 0 | 3 | null | null | N. J. A. Sloane | 2025-07-08T01:28:32 | oeisdata/seq/A010/A010031.seq | 870038826a4f4ffff6c6fe606a7fb247 |
A010032 | Weight distribution of binary (16,256,6) nonlinear Nordstrom-Robinson code. | [
"1",
"0",
"0",
"112",
"30",
"112",
"0",
"0",
"1"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 20 | 0 | 4 | [
"A010032",
"A109737"
]
| null | N. J. A. Sloane | 2025-07-08T01:28:38 | oeisdata/seq/A010/A010032.seq | c0c616a4159424179d6c5c1421d55bac |
A010033 | A thinks of x in set M; B asks questions: is x in T?; A may lie once but only when true answer is Yes; a(n) is maximal size of M such that B can determine x with <= n questions. | [
"1",
"2",
"3",
"6",
"11",
"20",
"36",
"66",
"121",
"223",
"415",
"774",
"1452",
"2724",
"5133",
"9695",
"18358",
"34867",
"66320",
"126499",
"241563",
"462479",
"886150",
"1707353",
"3270338",
"6295073",
"12133953"
]
| [
"nonn"
]
| 4 | 1 | 2 | null | null | Thorsten Prenzel (prenzel(AT)unitas.or.uni-bonn.de) | 2003-05-16T03:00:00 | oeisdata/seq/A010/A010033.seq | f1b2622e1612d03052fde3ead065934a |
A010034 | Numbers k such that gcd(k^17 + 9, (k+1)^17 + 9) > 1. | [
"8424432925592889329288197322308900672459420460792433",
"17361015163508605989239159575667846308252873717727992",
"26297597401424322649190121829026791944046326974663551",
"35234179639340039309141084082385737579839780231599110"
]
| [
"nonn",
"easy"
]
| 52 | 1 | 1 | [
"A010034",
"A118119",
"A255859"
]
| null | Ilan Vardi, Stan Wagon | 2023-09-28T11:44:37 | oeisdata/seq/A010/A010034.seq | cc083432e941287dcf0475f9164633b5 |
A010035 | a(n) = 2*3^(2*n)-3^n. | [
"1",
"15",
"153",
"1431",
"13041",
"117855",
"1062153",
"9563751",
"86086881",
"774821295",
"6973509753",
"62761942071",
"564858541521",
"5083730062335",
"45753580126953",
"411782249840391",
"3706040334656961",
"33354363270192975",
"300189270206577753",
"2701703434183722711",
"24315330914627073201"
]
| [
"nonn",
"easy"
]
| 26 | 0 | 2 | null | null | Steve King (ITTTUCSON(AT)aol.com) | 2025-05-28T09:18:29 | oeisdata/seq/A010/A010035.seq | 27ee58f26c7484b24abfcbefbe949525 |
A010036 | Sum of 2^n, ..., 2^(n+1) - 1. | [
"1",
"5",
"22",
"92",
"376",
"1520",
"6112",
"24512",
"98176",
"392960",
"1572352",
"6290432",
"25163776",
"100659200",
"402644992",
"1610596352",
"6442418176",
"25769738240",
"103079084032",
"412316598272",
"1649266917376",
"6597068718080",
"26388276969472",
"105553112072192",
"422212456677376"
]
| [
"nonn",
"easy"
]
| 62 | 0 | 2 | [
"A006095",
"A006516",
"A010036"
]
| null | Steve King (ITTTUCSON(AT)aol.com) | 2024-05-26T15:00:05 | oeisdata/seq/A010/A010036.seq | ceca68d20167bf55ac9d06e23d0655b0 |
A010037 | Numbers n such that gcd(n^5 + 5, (n+1)^5 + 5) > 1. | [
"533360",
"2502111",
"4470862",
"6439613",
"8408364",
"10377115",
"12345866",
"14314617",
"16283368",
"18252119",
"20220870",
"22189621",
"24158372",
"26127123",
"28095874",
"30064625",
"32033376",
"34002127",
"35970878"
]
| [
"nonn",
"easy"
]
| 23 | 1 | 1 | null | null | Stan Wagon, Ilan Vardi | 2022-12-03T17:52:47 | oeisdata/seq/A010/A010037.seq | e3eab2cefc43c9bfab9b790d6e12797b |
A010038 | Number of letters in n (in Czech). | [
"5",
"3",
"3",
"5",
"3",
"4",
"4",
"3",
"5",
"5",
"8",
"7",
"7",
"7",
"7",
"8",
"8",
"7",
"10",
"6",
"11",
"9",
"9",
"11",
"9",
"10",
"10",
"9",
"11",
"6",
"11",
"9",
"9",
"11",
"9",
"10",
"10",
"9",
"11",
"8",
"13",
"11",
"11",
"13",
"11",
"12",
"12",
"11",
"13",
"7",
"12",
"10",
"10",
"12",
"10",
"11",
"11",
"10",
"12",
"7",
"12",
"10",
"10",
"12",
"10",
"11",
"11",
"10",
"12"
]
| [
"nonn",
"word"
]
| 9 | 1 | 1 | null | null | IVAN SAMOHYL (Ivan.Samohyl(AT)vscht.cz) | 2011-07-10T18:42:06 | oeisdata/seq/A010/A010038.seq | 7d6a1e6206d3a829bd9bf58a2d39dbca |
A010039 | High-temperature expansion of Ising model susceptibility chi_2 for square lattice. | [
"1",
"4",
"24",
"208",
"2208",
"28864",
"440064",
"7752448",
"153604608",
"3398247424",
"82812002304",
"2208100261888",
"63835179614208",
"1991789102301184",
"66630050985836544",
"2381273427126550528",
"90474637735806763008",
"3643995535114567942144",
"154996077159081295478784",
"6946094284451252292026368"
]
| [
"nonn"
]
| 19 | 0 | 2 | [
"A002906",
"A005401",
"A010039",
"A010040",
"A010042",
"A010045"
]
| null | N. J. A. Sloane | 2024-11-26T02:58:27 | oeisdata/seq/A010/A010039.seq | df4e055ac5c7169477613e2ad05b58cb |
A010040 | High-temperature expansion of Ising model susceptibility chi_2 for cubic lattice. | [
"1",
"6",
"60",
"888",
"16944",
"403296",
"11342400",
"371718528",
"13814409984",
"577113570816",
"26660675466240",
"1354001083680768",
"74774085533159424",
"4471493494982516736",
"287295290091420794880",
"19770508871470350532608",
"1448690057046948138123264",
"112756550398510017376813056"
]
| [
"nonn"
]
| 9 | 0 | 2 | [
"A002170",
"A002913",
"A010039",
"A010040",
"A010041",
"A010043",
"A010046"
]
| null | N. J. A. Sloane | 2024-11-25T12:00:27 | oeisdata/seq/A010/A010040.seq | d1d858cc9459d95e71dee6783d0fd3f4 |
A010041 | High-temperature expansion of Ising model susceptibility chi_2 for 4-d cubic lattice. | [
"1",
"8",
"112",
"2336",
"63808",
"2177408",
"88532992",
"4198893056",
"226756461568",
"13774782507008",
"927722457014272",
"68724458864869376",
"5545864378385072128",
"484804579241630302208",
"45594217495265300119552",
"4594089494167496649015296",
"493393425754870454072639488",
"56299361591526976658442027008"
]
| [
"nonn"
]
| 13 | 0 | 2 | [
"A010039",
"A010040",
"A010041",
"A010044",
"A010047",
"A010556"
]
| null | N. J. A. Sloane | 2024-11-26T02:58:38 | oeisdata/seq/A010/A010041.seq | a819502a840a6cfa5f6c2ce16d6c3608 |
A010042 | High-temperature expansion of susceptibility mu_2 for square lattice. | [
"0",
"4",
"64",
"976",
"16384",
"305344",
"6313984",
"143915776",
"3592290304",
"97533174784",
"2863801237504",
"90450422603776",
"3058671365914624",
"110277389360103424",
"4223330682610253824"
]
| [
"nonn",
"changed"
]
| 6 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:44 | oeisdata/seq/A010/A010042.seq | 2ed9eb3032ad2737324e4fe42ada75c0 |
A010043 | High-temperature expansion of susceptibility mu_2 for cubic lattice. | [
"0",
"6",
"144",
"3480",
"95616",
"2995296",
"106308864",
"4224923520",
"186254217216",
"9025003101696",
"477123118608384",
"27334467671746560",
"1687499455653052416",
"111689161007888080896",
"7890849624188124463104"
]
| [
"nonn",
"changed"
]
| 6 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:49 | oeisdata/seq/A010/A010043.seq | d0eda0151c49007b63fe0dbd72d0b1f0 |
A010044 | High-temperature expansion of susceptibility mu_2 for 4-d cubic lattice. | [
"0",
"8",
"256",
"8480",
"323584",
"14219648",
"712769536",
"40231339520",
"2529742618624",
"175465112250368",
"13316649656713216",
"1097902932846018560",
"97741786751619825664",
"9345711964094187634688",
"955350654371934426628096"
]
| [
"nonn",
"changed"
]
| 6 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:54 | oeisdata/seq/A010/A010044.seq | 92f7733ccf46e243eeb752792bd50a6c |
A010045 | High-temperature expansion of Ising model susceptibility chi_4 for square lattice. | [
"2",
"32",
"528",
"9728",
"197568",
"4424192",
"108461568",
"2895515648",
"83657776128",
"2602257293312",
"86733041246208",
"3084465770528768",
"116595295651135488",
"4668952802696364032",
"197452751427562242048",
"8794599595709419225088",
"411518238008892605595648",
"20183379315419545025380352"
]
| [
"nonn"
]
| 9 | 0 | 1 | [
"A002906",
"A010039",
"A010042",
"A010045",
"A010046",
"A010047"
]
| null | N. J. A. Sloane | 2024-11-26T02:59:03 | oeisdata/seq/A010/A010045.seq | 9028b24279f6720dc673070d4b6d2ecd |
A010046 | High-temperature expansion of Ising model susceptibility chi_4 for cubic lattice. | [
"2",
"48",
"1272",
"38784",
"1341408",
"52186368",
"2256454272",
"107494477824",
"5595152936448",
"316081923944448",
"19262189406185472",
"1259828274265227264",
"88026828815690047488",
"6544693787367160086528",
"515907116666737635459072",
"42981965201161894878511104",
"3773829205951827807017238528"
]
| [
"nonn"
]
| 10 | 0 | 1 | [
"A002913",
"A010040",
"A010043",
"A010045",
"A010046",
"A010047"
]
| null | N. J. A. Sloane | 2024-11-26T02:58:12 | oeisdata/seq/A010/A010046.seq | aa012dc7bfc3bd4bc367c06156814e45 |
A010047 | High-temperature expansion of Ising model susceptibility chi_4 for 4-d cubic lattice. | [
"2",
"64",
"2336",
"99328",
"4840832",
"267080704",
"16467255296",
"1123220758528",
"83995566282752",
"6835730843582464",
"601493660302278656",
"56912420061511548928",
"5762378580637148905472",
"621705383408527748890624",
"71206666963479522492809216"
]
| [
"nonn"
]
| 9 | 0 | 1 | [
"A010041",
"A010044",
"A010045",
"A010046",
"A010047",
"A010557"
]
| null | N. J. A. Sloane | 2024-11-25T12:14:51 | oeisdata/seq/A010/A010047.seq | c8aaa472df663e302fcfa4a9b79e2f01 |
A010048 | Triangle of Fibonomial coefficients, read by rows. | [
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"3",
"6",
"3",
"1",
"1",
"5",
"15",
"15",
"5",
"1",
"1",
"8",
"40",
"60",
"40",
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"1",
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"13",
"104",
"260",
"260",
"104",
"13",
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"21",
"273",
"1092",
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"34",
"714",
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"34",
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"55",
"1870",
"19635",
"85085",
"136136",
"85085",
"19635",
"1870",
"55",
"1"
]
| [
"nonn",
"tabl",
"easy",
"nice",
"changed"
]
| 166 | 0 | 8 | [
"A000045",
"A001654",
"A001655",
"A001656",
"A001657",
"A001658",
"A003150",
"A003267",
"A003268",
"A010048",
"A055870",
"A056565",
"A056566",
"A056567",
"A056569",
"A099927",
"A144712",
"A181926",
"A181927",
"A385732",
"A385733"
]
| null | N. J. A. Sloane | 2025-07-08T11:03:47 | oeisdata/seq/A010/A010048.seq | 957248b3bdfc31bc29cd4a11e7c9a5dd |
A010049 | Second-order Fibonacci numbers. | [
"0",
"1",
"1",
"3",
"5",
"10",
"18",
"33",
"59",
"105",
"185",
"324",
"564",
"977",
"1685",
"2895",
"4957",
"8462",
"14406",
"24465",
"41455",
"70101",
"118321",
"199368",
"335400",
"563425",
"945193",
"1583643",
"2650229",
"4430290",
"7398330",
"12342849",
"20573219",
"34262337",
"57013865",
"94800780",
"157517532",
"261545777"
]
| [
"nonn",
"easy"
]
| 125 | 0 | 4 | [
"A000032",
"A000045",
"A001629",
"A006367",
"A007895",
"A010049",
"A023610",
"A029907",
"A094440",
"A134410",
"A135830"
]
| null | N. J. A. Sloane | 2024-11-14T15:18:10 | oeisdata/seq/A010/A010049.seq | 79005486d0445677146f4fd6ebf18156 |
A010050 | a(n) = (2n)!. | [
"1",
"2",
"24",
"720",
"40320",
"3628800",
"479001600",
"87178291200",
"20922789888000",
"6402373705728000",
"2432902008176640000",
"1124000727777607680000",
"620448401733239439360000",
"403291461126605635584000000",
"304888344611713860501504000000",
"265252859812191058636308480000000"
]
| [
"nonn",
"easy"
]
| 114 | 0 | 2 | [
"A000142",
"A000165",
"A005359",
"A009445",
"A010050",
"A012251",
"A012254",
"A070734",
"A073743"
]
| null | Joe Keane (jgk(AT)jgk.org) | 2025-03-10T11:13:14 | oeisdata/seq/A010/A010050.seq | a57f2985cfdd2e8db2b46349927d9a31 |
A010051 | Characteristic function of primes: 1 if n is prime, else 0. | [
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
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"1",
"0",
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"0",
"0",
"0",
"1",
"0",
"1",
"0"
]
| [
"nonn",
"easy",
"changed"
]
| 323 | 1 | 1 | [
"A000040",
"A000720",
"A001221",
"A008683",
"A010051",
"A051006",
"A053176",
"A059456",
"A059500",
"A072762",
"A117278",
"A143519",
"A156657",
"A156659",
"A156660"
]
| null | N. J. A. Sloane | 2025-07-05T11:25:22 | oeisdata/seq/A010/A010051.seq | 25d118503020e459db0dc750a512489b |
A010052 | Characteristic function of squares: a(n) = 1 if n is a square, otherwise 0. | [
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
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"0",
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"1",
"0",
"0",
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"0",
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"0",
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"0",
"0",
"0",
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"0",
"0",
"0",
"0",
"0",
"0",
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"0",
"0",
"0",
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"1",
"0",
"0",
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"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"nice",
"easy",
"mult"
]
| 206 | 0 | 1 | [
"A000005",
"A000122",
"A000196",
"A005369",
"A007913",
"A008836",
"A010052",
"A037011",
"A046951",
"A063524",
"A243148",
"A258998",
"A271102",
"A337165",
"A341040"
]
| null | N. J. A. Sloane | 2025-02-16T08:32:32 | oeisdata/seq/A010/A010052.seq | 9828d6edd487588eb7dede1eb58c5c20 |
A010053 | a(n) = 4^n*(2*n+1)!*(n!)^2/(n+1). | [
"1",
"12",
"2560",
"2903040",
"10701766656",
"98099527680000",
"1888892391260160000",
"68028459471234662400000",
"4210629057689788455321600000",
"419914246162041071241548267520000",
"64132357595657181789618280857600000000",
"14397414995889590911587619167220531200000000"
]
| [
"nonn",
"easy"
]
| 10 | 0 | 2 | null | null | Joe Keane (jgk(AT)jgk.org) | 2020-01-01T16:56:35 | oeisdata/seq/A010/A010053.seq | 319f4ac86b3c83d8669142dbdc36c0d1 |
A010054 | a(n) = 1 if n is a triangular number, otherwise 0. | [
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
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"1",
"0",
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"1",
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"0",
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"0",
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"1",
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"0",
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"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"tabl",
"easy"
]
| 229 | 0 | 1 | [
"A000217",
"A002448",
"A005369",
"A006950",
"A007331",
"A008438",
"A008439",
"A008440",
"A008441",
"A008443",
"A010054",
"A014787",
"A014809",
"A022567",
"A023531",
"A035214",
"A052343",
"A106459",
"A106507",
"A127648",
"A226252",
"A226253",
"A226254",
"A226255"
]
| null | N. J. A. Sloane | 2025-06-25T01:27:19 | oeisdata/seq/A010/A010054.seq | f29f62b032a1d69a04d501672def4fd5 |
A010055 | 1 if n is a prime power p^k (k >= 0), otherwise 0. | [
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
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"1",
"0",
"1",
"0",
"1",
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"1",
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"1",
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"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0"
]
| [
"nonn"
]
| 67 | 1 | 1 | [
"A000961",
"A001221",
"A010055",
"A024619",
"A065515",
"A069513",
"A100995",
"A268340"
]
| null | N. J. A. Sloane | 2023-03-31T14:14:35 | oeisdata/seq/A010/A010055.seq | c6814e3ef6c27757db174db922895362 |
A010056 | Characteristic function of Fibonacci numbers: a(n) = 1 if n is a Fibonacci number, otherwise 0. | [
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
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"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"easy"
]
| 92 | 0 | 1 | [
"A000045",
"A001690",
"A003849",
"A010056",
"A010060",
"A020985",
"A020987",
"A030302",
"A043529",
"A049320",
"A063438",
"A072649",
"A079586",
"A084119",
"A104162",
"A108852",
"A124091",
"A130233",
"A130234",
"A159689",
"A191818",
"A273129",
"A316340",
"A316341",
"A316342",
"A316343",
"A316344",
"A316345",
"A316824",
"A316825",
"A316826",
"A316827",
"A316828",
"A316829"
]
| null | N. J. A. Sloane | 2024-02-01T05:55:29 | oeisdata/seq/A010/A010056.seq | 127d13e820f69844e24f4fd274e600e9 |
A010057 | a(n) = 1 if n is a cube, else 0. | [
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
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"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"easy",
"mult"
]
| 48 | 0 | 1 | [
"A000578",
"A003215",
"A010057"
]
| null | N. J. A. Sloane, Mar 15 1996 | 2023-02-07T09:43:39 | oeisdata/seq/A010/A010057.seq | 0d9a2664b9fc150ca467258928854088 |
A010058 | 1 if n is a Catalan number else 0. | [
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
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"0",
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"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn"
]
| 46 | 0 | 1 | [
"A000108",
"A010058",
"A092459"
]
| null | N. J. A. Sloane | 2015-11-26T00:42:58 | oeisdata/seq/A010/A010058.seq | d3fddc72cf61e962371fd340423f9de9 |
A010059 | Another version of the Thue-Morse sequence: let A_k denote the first 2^k terms; then A_0 = 1 and for k >= 0, A_{k+1} = A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's. | [
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0"
]
| [
"nonn",
"easy"
]
| 122 | 0 | 1 | [
"A000069",
"A000120",
"A001285",
"A001969",
"A010059",
"A010060",
"A026147",
"A059448",
"A106400",
"A143579",
"A159481"
]
| null | N. J. A. Sloane | 2024-10-25T10:37:37 | oeisdata/seq/A010/A010059.seq | a5044c9f480bf877850d5c92fb8d527a |
A010060 | Thue-Morse sequence: let A_k denote the first 2^k terms; then A_0 = 0 and for k >= 0, A_{k+1} = A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's. | [
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1"
]
| [
"nonn",
"core",
"easy",
"nice"
]
| 559 | 0 | 1 | [
"A000120",
"A001285",
"A001969",
"A003849",
"A004128",
"A005187",
"A005942",
"A007413",
"A010056",
"A010059",
"A010060",
"A010693",
"A014571",
"A014578",
"A020985",
"A020987",
"A026465",
"A029883",
"A030302",
"A035263",
"A036581",
"A043529",
"A048707",
"A049320",
"A053838",
"A059448",
"A063438",
"A080813",
"A080814",
"A104248",
"A106400",
"A108694",
"A115384",
"A132680",
"A141803",
"A159689",
"A161916",
"A171900",
"A191818",
"A193231",
"A214212",
"A225186",
"A228039",
"A273129",
"A282317",
"A316340",
"A316341",
"A316342",
"A316343",
"A316344",
"A316345",
"A316824",
"A316825",
"A316826",
"A316827",
"A316828",
"A316829"
]
| null | N. J. A. Sloane | 2025-06-05T10:04:16 | oeisdata/seq/A010/A010060.seq | b9f902629c8424a3bb538d8b34f6f391 |
A010061 | Binary self or Colombian numbers: numbers that cannot be expressed as the sum of distinct terms of the form 2^k+1 (k>=0), or equivalently, numbers not of form m + sum of binary digits of m. | [
"1",
"4",
"6",
"13",
"15",
"18",
"21",
"23",
"30",
"32",
"37",
"39",
"46",
"48",
"51",
"54",
"56",
"63",
"71",
"78",
"80",
"83",
"86",
"88",
"95",
"97",
"102",
"104",
"111",
"113",
"116",
"119",
"121",
"128",
"130",
"133",
"135",
"142",
"144",
"147",
"150",
"152",
"159",
"161",
"166",
"168",
"175",
"177",
"180",
"183",
"185",
"192",
"200",
"207",
"209",
"212",
"215",
"217"
]
| [
"nonn",
"base"
]
| 95 | 1 | 2 | [
"A003052",
"A010061",
"A010062",
"A055938",
"A092391",
"A227643",
"A227915",
"A228082",
"A228083",
"A228085",
"A228087",
"A228088",
"A230058",
"A230091",
"A230092",
"A232228",
"A242403"
]
| null | Leonid Broukhis | 2025-03-26T08:47:05 | oeisdata/seq/A010/A010061.seq | ccf8b7768ae25b0a92511c096835932f |
A010062 | a(0)=1; thereafter a(n+1) = a(n) + number of 1's in binary representation of a(n). | [
"1",
"2",
"3",
"5",
"7",
"10",
"12",
"14",
"17",
"19",
"22",
"25",
"28",
"31",
"36",
"38",
"41",
"44",
"47",
"52",
"55",
"60",
"64",
"65",
"67",
"70",
"73",
"76",
"79",
"84",
"87",
"92",
"96",
"98",
"101",
"105",
"109",
"114",
"118",
"123",
"129",
"131",
"134",
"137",
"140",
"143",
"148",
"151",
"156",
"160",
"162",
"165",
"169",
"173",
"178",
"182",
"187",
"193",
"196",
"199",
"204"
]
| [
"nonn",
"base",
"easy",
"nice"
]
| 109 | 0 | 2 | [
"A000120",
"A004207",
"A007088",
"A010061",
"A010062",
"A028897",
"A092391",
"A096303",
"A157845",
"A228083",
"A229167",
"A229743",
"A229744",
"A230088",
"A230297",
"A230298"
]
| null | Leonid Broukhis, Mar 15 1996 | 2024-12-14T03:58:21 | oeisdata/seq/A010/A010062.seq | 435b1f9cca875f89f29d94d4bfea0536 |
A010063 | a(n+1) = a(n) + sum of digits in base 3 representation of a(n), with a(0) = 1. | [
"1",
"2",
"4",
"6",
"8",
"12",
"14",
"18",
"20",
"24",
"28",
"30",
"32",
"36",
"38",
"42",
"46",
"50",
"56",
"60",
"64",
"68",
"74",
"80",
"88",
"92",
"96",
"100",
"104",
"110",
"114",
"118",
"122",
"128",
"134",
"142",
"148",
"154",
"160",
"168",
"172",
"176",
"182",
"188",
"196",
"202",
"208",
"214",
"222",
"228",
"234",
"240",
"248",
"252",
"254",
"258"
]
| [
"nonn",
"base"
]
| 19 | 0 | 2 | [
"A010063",
"A053735",
"A134451",
"A230639",
"A230640",
"A230641",
"A230642",
"A230643",
"A230853",
"A230854",
"A230855",
"A230856"
]
| null | Leonid Broukhis | 2022-06-14T18:04:17 | oeisdata/seq/A010/A010063.seq | 655e668611be4724d7f80ea4276b2957 |
A010064 | Base 4 self or Colombian numbers (not of form k + sum of base 4 digits of k). | [
"1",
"3",
"8",
"13",
"18",
"20",
"25",
"30",
"35",
"37",
"42",
"47",
"52",
"54",
"59",
"64",
"73",
"78",
"83",
"85",
"90",
"95",
"100",
"102",
"107",
"112",
"117",
"119",
"124",
"129",
"138",
"143",
"148",
"150",
"155",
"160",
"165",
"167",
"172",
"177",
"182",
"184",
"189",
"194",
"203",
"208",
"213",
"215",
"220",
"225",
"230",
"232",
"237",
"242",
"247",
"249",
"254"
]
| [
"nonn",
"base"
]
| 26 | 1 | 2 | [
"A003052",
"A010061",
"A010064",
"A010065",
"A010067",
"A010070",
"A053737",
"A230631",
"A230632",
"A230633",
"A230634",
"A230635",
"A230636",
"A230637",
"A230638"
]
| null | Leonid Broukhis | 2021-04-16T12:44:37 | oeisdata/seq/A010/A010064.seq | 7b33f2987a0d33993856e35bd023a109 |
A010065 | a(n+1) = a(n) + sum of digits in base 4 representation of a(n), with a(0) = 1. | [
"1",
"2",
"4",
"5",
"7",
"11",
"16",
"17",
"19",
"23",
"28",
"32",
"34",
"38",
"43",
"50",
"55",
"62",
"70",
"74",
"79",
"86",
"91",
"98",
"103",
"110",
"118",
"125",
"133",
"137",
"142",
"149",
"154",
"161",
"166",
"173",
"181",
"188",
"196",
"200",
"205",
"212",
"217",
"224",
"229",
"236",
"244",
"251",
"262",
"266",
"271",
"278",
"283",
"290",
"295"
]
| [
"nonn",
"base"
]
| 26 | 0 | 2 | [
"A003052",
"A004207",
"A010061",
"A010062",
"A010064",
"A010065",
"A053737",
"A230631",
"A230632",
"A230633",
"A230634",
"A230635",
"A230636",
"A230637",
"A230638"
]
| null | Leonid Broukhis | 2024-10-31T00:56:23 | oeisdata/seq/A010/A010065.seq | 350861fd34e7d53332a174a7165c049c |
A010066 | a(n+1) = a(n) + sum of digits in base 5 representation of a(n). | [
"1",
"2",
"4",
"8",
"12",
"16",
"20",
"24",
"32",
"36",
"40",
"44",
"52",
"56",
"60",
"64",
"72",
"80",
"84",
"92",
"100",
"104",
"112",
"120",
"128",
"132",
"136",
"140",
"144",
"152",
"156",
"160",
"164",
"172",
"180",
"184",
"192",
"200",
"204",
"212",
"220",
"228",
"236",
"244",
"256",
"260",
"264",
"272",
"280",
"284",
"292",
"300",
"304",
"312"
]
| [
"nonn",
"base"
]
| 20 | 0 | 2 | null | null | Leonid Broukhis | 2018-02-18T02:49:50 | oeisdata/seq/A010/A010066.seq | 421f6fe071b6f402214c0ce138bb2051 |
A010067 | Base 6 self or Colombian numbers (not of form k + sum of base 6 digits of k). | [
"1",
"3",
"5",
"12",
"19",
"26",
"33",
"40",
"42",
"49",
"56",
"63",
"70",
"77",
"79",
"86",
"93",
"100",
"107",
"114",
"116",
"123",
"130",
"137",
"144",
"151",
"153",
"160",
"167",
"174",
"181",
"188",
"190",
"197",
"204",
"211",
"218",
"229",
"236",
"243",
"250",
"257",
"259",
"266",
"273",
"280",
"287",
"294",
"296",
"303",
"310",
"317",
"324",
"331",
"333",
"340",
"347"
]
| [
"nonn",
"base"
]
| 17 | 1 | 2 | [
"A003052",
"A010061",
"A010064",
"A010067",
"A010070",
"A053827"
]
| null | Leonid Broukhis | 2020-11-28T03:57:16 | oeisdata/seq/A010/A010067.seq | 1f9583bd8cd16065187c23285fc92a72 |
A010068 | a(n+1) = a(n) + sum of digits in base 6 representation of a(n). | [
"1",
"2",
"4",
"8",
"11",
"17",
"24",
"28",
"36",
"37",
"39",
"43",
"46",
"52",
"59",
"68",
"76",
"82",
"89",
"98",
"106",
"117",
"124",
"133",
"141",
"152",
"159",
"168",
"176",
"187",
"194",
"203",
"216",
"217",
"219",
"223",
"226",
"232",
"239",
"248",
"256",
"262",
"269",
"278",
"286",
"297",
"304",
"313",
"321",
"332",
"339",
"348",
"356",
"367"
]
| [
"nonn",
"base"
]
| 16 | 0 | 2 | null | null | Leonid Broukhis | 2019-08-04T14:55:05 | oeisdata/seq/A010/A010068.seq | 8a524ae0aaf474e8fb34750adab83926 |
A010069 | a(n+1) = a(n) + sum of digits in base 7 representation of a(n). | [
"1",
"2",
"4",
"8",
"10",
"14",
"16",
"20",
"28",
"32",
"40",
"50",
"52",
"56",
"58",
"62",
"70",
"74",
"82",
"92",
"100",
"104",
"112",
"116",
"124",
"134",
"142",
"152",
"160",
"170",
"178",
"188",
"202",
"212",
"220",
"230",
"244",
"260",
"268",
"278",
"292",
"308",
"316",
"326",
"340",
"356",
"364",
"368",
"376",
"386",
"394",
"398",
"406",
"410"
]
| [
"nonn",
"base"
]
| 13 | 0 | 2 | null | null | Leonid Broukhis | 2021-07-27T16:35:06 | oeisdata/seq/A010/A010069.seq | d56d8c0666ef3866f9e665e827767f29 |
A010070 | Base 8 self or Colombian numbers (not of form k + sum of base 8 digits of k). | [
"1",
"3",
"5",
"7",
"16",
"25",
"34",
"43",
"52",
"61",
"70",
"72",
"81",
"90",
"99",
"108",
"117",
"126",
"135",
"137",
"146",
"155",
"164",
"173",
"182",
"191",
"200",
"202",
"211",
"220",
"229",
"238",
"247",
"256",
"265",
"267",
"276",
"285",
"294",
"303",
"312",
"321",
"330",
"332",
"341",
"350",
"359",
"368",
"377",
"386",
"395",
"397",
"406",
"415",
"424",
"433"
]
| [
"nonn",
"base"
]
| 16 | 1 | 2 | [
"A003052",
"A010061",
"A010064",
"A010067",
"A010070",
"A053829"
]
| null | Leonid Broukhis | 2020-11-28T03:57:09 | oeisdata/seq/A010/A010070.seq | 797e8d18d2635b0843c7913b0a977cdf |
A010071 | a(n+1) = a(n) + sum of digits in base 8 representation of a(n). | [
"1",
"2",
"4",
"8",
"9",
"11",
"15",
"23",
"32",
"36",
"44",
"53",
"64",
"65",
"67",
"71",
"79",
"88",
"92",
"100",
"109",
"120",
"128",
"130",
"134",
"142",
"151",
"162",
"170",
"179",
"190",
"205",
"214",
"225",
"233",
"242",
"253",
"268",
"277",
"288",
"296",
"305",
"316",
"331",
"340",
"351",
"366",
"382",
"400",
"408",
"417",
"428",
"443",
"459"
]
| [
"nonn",
"base"
]
| 9 | 0 | 2 | null | null | Leonid Broukhis | 2013-10-12T21:13:06 | oeisdata/seq/A010/A010071.seq | 33e83ad88dbac715857430791b48498e |
A010072 | a(n+1) = a(n) + sum of digits in base 9 representation of a(n). | [
"1",
"2",
"4",
"8",
"16",
"24",
"32",
"40",
"48",
"56",
"64",
"72",
"80",
"96",
"104",
"112",
"120",
"128",
"136",
"144",
"152",
"168",
"176",
"184",
"192",
"200",
"208",
"216",
"224",
"240",
"256",
"264",
"272",
"280",
"288",
"296",
"312",
"328",
"336",
"344",
"352",
"360",
"368",
"384",
"400",
"416",
"424",
"432",
"440",
"456",
"472",
"488",
"496"
]
| [
"nonn",
"base"
]
| 12 | 0 | 2 | null | null | Leonid Broukhis | 2013-11-21T12:45:57 | oeisdata/seq/A010/A010072.seq | 08f9237904a51f71d62ae3e7d66e0d1d |
A010073 | a(n) = sum of base-6 digits of a(n-1) + sum of base-6 digits of a(n-2); a(0)=0, a(1)=1. | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"8",
"6",
"4",
"5",
"9",
"9",
"8",
"7",
"5",
"7",
"7",
"4",
"6",
"5",
"6",
"6",
"2",
"3",
"5",
"8",
"8",
"6",
"4",
"5",
"9",
"9",
"8",
"7",
"5",
"7",
"7",
"4",
"6",
"5",
"6",
"6",
"2",
"3",
"5",
"8",
"8",
"6",
"4",
"5",
"9",
"9",
"8",
"7",
"5",
"7",
"7",
"4",
"6",
"5",
"6",
"6",
"2",
"3",
"5",
"8",
"8",
"6",
"4",
"5",
"9",
"9",
"8",
"7",
"5",
"7",
"7",
"4",
"6",
"5",
"6",
"6"
]
| [
"nonn",
"base"
]
| 48 | 0 | 4 | [
"A000045",
"A010073",
"A010074",
"A010075",
"A010076",
"A010077",
"A131294",
"A131295",
"A131296",
"A131297",
"A131318",
"A131319",
"A131320"
]
| null | N. J. A. Sloane, Leonid Broukhis | 2022-09-08T08:44:37 | oeisdata/seq/A010/A010073.seq | 900c7c279d0ef8e38e33008be7bc9895 |
A010074 | a(n) = sum of base-7 digits of a(n-1) + sum of base-7 digits of a(n-2). | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"7",
"3",
"4",
"7",
"5",
"6",
"11",
"11",
"10",
"9",
"7",
"4",
"5",
"9",
"8",
"5",
"7",
"6",
"7",
"7",
"2",
"3",
"5",
"8",
"7",
"3",
"4",
"7",
"5",
"6",
"11",
"11",
"10",
"9",
"7",
"4",
"5",
"9",
"8",
"5",
"7",
"6",
"7",
"7",
"2",
"3",
"5",
"8",
"7",
"3",
"4",
"7",
"5",
"6",
"11",
"11",
"10",
"9",
"7",
"4",
"5",
"9",
"8",
"5",
"7",
"6",
"7",
"7"
]
| [
"nonn",
"base"
]
| 27 | 0 | 4 | [
"A000045",
"A010073",
"A010074",
"A010075",
"A010076",
"A010077",
"A131294",
"A131295",
"A131296",
"A131297",
"A131318",
"A131319",
"A131320"
]
| null | N. J. A. Sloane, Leonid Broukhis | 2018-04-29T02:07:03 | oeisdata/seq/A010/A010074.seq | 0b3b4758e8637b75cf9af6919e80a280 |
A010075 | a(n) = sum of base-8 digits of a(n-1) + sum of base-8 digits of a(n-2). | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8",
"7",
"8",
"8",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8",
"7",
"8",
"8",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8",
"7",
"8",
"8",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8",
"7",
"8",
"8",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8",
"7",
"8",
"8",
"2",
"3",
"5",
"8",
"6",
"7",
"13",
"13",
"12",
"11",
"9",
"6",
"8"
]
| [
"nonn",
"base"
]
| 26 | 0 | 4 | [
"A000045",
"A010073",
"A010074",
"A010075",
"A010076",
"A010077",
"A131294",
"A131295",
"A131296",
"A131297",
"A131318",
"A131319",
"A131320"
]
| null | N. J. A. Sloane, Leonid Broukhis | 2020-04-19T14:14:30 | oeisdata/seq/A010/A010075.seq | 86e4ab7e016d6b06d9daea304f40b066 |
A010076 | a(n) = sum of base-9 digits of a(n-1) + sum of base-9 digits of a(n-2). | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9",
"2",
"3",
"5",
"8",
"13",
"13",
"10",
"7",
"9",
"8",
"9",
"9"
]
| [
"nonn",
"base"
]
| 30 | 0 | 4 | [
"A000045",
"A001175",
"A010073",
"A010074",
"A010075",
"A010076",
"A010077",
"A010878",
"A079344",
"A131294",
"A131295",
"A131296",
"A131297",
"A131318",
"A131319",
"A131320"
]
| null | N. J. A. Sloane, Leonid Broukhis | 2024-08-25T18:45:54 | oeisdata/seq/A010/A010076.seq | e3d82340810c12a3b0e8da73a900da05 |
A010077 | a(n) = sum of digits of a(n-1) + sum of digits of a(n-2); a(0) = 0, a(1) = 1. | [
"0",
"1",
"1",
"2",
"3",
"5",
"8",
"13",
"12",
"7",
"10",
"8",
"9",
"17",
"17",
"16",
"15",
"13",
"10",
"5",
"6",
"11",
"8",
"10",
"9",
"10",
"10",
"2",
"3",
"5",
"8",
"13",
"12",
"7",
"10",
"8",
"9",
"17",
"17",
"16",
"15",
"13",
"10",
"5",
"6",
"11",
"8",
"10",
"9",
"10",
"10",
"2",
"3",
"5",
"8",
"13",
"12",
"7",
"10",
"8",
"9",
"17",
"17",
"16",
"15",
"13",
"10",
"5",
"6",
"11",
"8",
"10",
"9",
"10",
"10"
]
| [
"nonn",
"easy",
"base"
]
| 30 | 0 | 4 | [
"A000045",
"A007612",
"A007953",
"A010073",
"A010074",
"A010075",
"A010076",
"A010077",
"A065076",
"A131294",
"A131295",
"A131296",
"A131297",
"A131318",
"A131319",
"A131320"
]
| null | N. J. A. Sloane, Leonid Broukhis | 2021-05-27T06:25:42 | oeisdata/seq/A010/A010077.seq | d541e789af51f38f346ecbcc86ff694b |
A010078 | Shortest representation of -n in 2's-complement format. | [
"1",
"2",
"5",
"4",
"11",
"10",
"9",
"8",
"23",
"22",
"21",
"20",
"19",
"18",
"17",
"16",
"47",
"46",
"45",
"44",
"43",
"42",
"41",
"40",
"39",
"38",
"37",
"36",
"35",
"34",
"33",
"32",
"95",
"94",
"93",
"92",
"91",
"90",
"89",
"88",
"87",
"86",
"85",
"84",
"83",
"82",
"81",
"80",
"79",
"78",
"77",
"76",
"75",
"74",
"73",
"72",
"71",
"70",
"69",
"68",
"67",
"66",
"65",
"64",
"191",
"190",
"189"
]
| [
"base",
"nonn"
]
| 45 | 1 | 2 | [
"A004754",
"A008687",
"A010078"
]
| null | Leonid Broukhis | 2024-07-18T14:26:43 | oeisdata/seq/A010/A010078.seq | 640ba0b58f1fa1a5357cccb82b49e216 |
A010079 | Coordination sequence for net formed by holes in D_4 lattice. | [
"1",
"16",
"104",
"344",
"792",
"1528",
"2632",
"4152",
"6200",
"8792",
"12072",
"16024",
"20824",
"26424",
"33032",
"40568",
"49272",
"59032",
"70120",
"82392",
"96152",
"111224",
"127944",
"146104",
"166072",
"187608",
"211112",
"236312",
"263640",
"292792",
"324232",
"357624",
"393464",
"431384",
"471912",
"514648",
"560152"
]
| [
"nonn",
"easy",
"changed"
]
| 26 | 0 | 2 | null | null | N. J. A. Sloane | 2025-07-08T01:28:59 | oeisdata/seq/A010/A010079.seq | 90a617dad26e3f2f16aabec88e1502d9 |
A010080 | Weight distribution of [16,11,4] extended Hamming code of length 16. | [
"1",
"0",
"140",
"448",
"870",
"448",
"140",
"0",
"1"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 18 | 0 | 3 | [
"A010080",
"A110832"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:05 | oeisdata/seq/A010/A010080.seq | 0deccc57d3310041414d745249db4f18 |
A010081 | Weight distribution of extended Hamming code of length 32 (or 3rd-order Reed-Muller code). | [
"1",
"0",
"1240",
"27776",
"330460",
"2011776",
"7063784",
"14721280",
"18796230",
"14721280",
"7063784",
"2011776",
"330460",
"27776",
"1240",
"0",
"1"
]
| [
"nonn",
"fini",
"full"
]
| 23 | 0 | 3 | null | null | N. J. A. Sloane | 2023-08-12T23:00:29 | oeisdata/seq/A010/A010081.seq | 3b0341818bb454fba8f465a384bf30c6 |
A010082 | Weight distribution of extended Hamming code of length 64. | [
"1",
"0",
"10416",
"1166592",
"69194232",
"2366570752",
"51316746768",
"747741998592",
"7633243745820",
"56276359749120",
"306558278858160",
"1255428754917120",
"3916392495228360",
"9399341113166592",
"17480786291963792"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 14 | 0 | 3 | null | null | N. J. A. Sloane | 2025-07-08T01:29:10 | oeisdata/seq/A010/A010082.seq | 57c9b8c61bc5d8d1518db25746281cf9 |
A010083 | Weight distribution of [128,120,4] extended Hamming code of length 128. This is also the Reed-Muller code RM(5,7). | [
"1",
"0",
"85344",
"42330624",
"11170182384",
"1772228014592",
"185359804775712",
"13586256544975872",
"729242357526446712",
"29627257927486958592",
"934817955092922629344",
"23382589365749366429184"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 13 | 0 | 3 | [
"A010080",
"A010081",
"A010082",
"A010083"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:16 | oeisdata/seq/A010/A010083.seq | 0e3adacc4354a96d7586266dd7878966 |
A010084 | Weight distribution of extended Hamming code of length 256. | [
"1",
"0",
"690880",
"1439241216",
"1600259436000",
"1089164637414400",
"497302797675880000",
"162011412870006528000",
"39370123446823781449200",
"7379968237981419286272000",
"1095459180086149609599422400"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 12 | 0 | 3 | [
"A010080",
"A010081",
"A010082",
"A010083",
"A010084"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:22 | oeisdata/seq/A010/A010084.seq | 3278891627d290459bc2f0fd760554ec |
A010085 | Weight distribution of [15,11,3] Hamming code of length 15 and minimal distance 3. | [
"1",
"0",
"0",
"35",
"105",
"168",
"280",
"435",
"435",
"280",
"168",
"105",
"35",
"0",
"0",
"1"
]
| [
"nonn",
"fini",
"full"
]
| 11 | 0 | 4 | [
"A010085",
"A340030"
]
| null | N. J. A. Sloane | 2021-01-11T13:22:12 | oeisdata/seq/A010/A010085.seq | 043ca918f577345c8a77cacab3fc19e5 |
A010086 | Weight distribution of d=3 Hamming code of length 31. | [
"1",
"0",
"0",
"155",
"1085",
"5208",
"22568",
"82615",
"247845",
"628680",
"1383096",
"2648919",
"4414865",
"6440560",
"8280720",
"9398115",
"9398115",
"8280720",
"6440560",
"4414865",
"2648919",
"1383096",
"628680",
"247845",
"82615",
"22568",
"5208",
"1085",
"155",
"0",
"0",
"1"
]
| [
"nonn",
"fini",
"full"
]
| 14 | 0 | 4 | [
"A010086",
"A340030"
]
| null | N. J. A. Sloane | 2021-01-11T13:21:17 | oeisdata/seq/A010/A010086.seq | 217e6ede67df9543236c4df7723d3a6b |
A010087 | Weight distribution of d=3 Hamming code of length 63. | [
"1",
"0",
"0",
"651",
"9765",
"109368",
"1057224",
"8649279",
"60544953",
"369776680",
"1996794072",
"9621890019",
"41694856749",
"163568562192",
"584173436400",
"1908310936455",
"5724932809365",
"15827726179440",
"40448633569680"
]
| [
"nonn",
"fini",
"full"
]
| 14 | 0 | 4 | [
"A010087",
"A340030"
]
| null | N. J. A. Sloane | 2021-01-11T13:21:07 | oeisdata/seq/A010/A010087.seq | cb8a158e375e16079f4d8c0480404626 |
A010088 | Weight distribution of d=3 Hamming code of length 127. | [
"1",
"0",
"0",
"2667",
"82677",
"1984248",
"40346376",
"698136399",
"10472045985",
"138455313640",
"1633772700952",
"17377481697723",
"167982323077989",
"1485996809606736",
"12100259735369136",
"91155294690805839"
]
| [
"nonn",
"fini",
"full"
]
| 15 | 0 | 4 | [
"A010088",
"A340030"
]
| null | N. J. A. Sloane. Entry revised Jul 18 2009 | 2021-01-11T13:20:57 | oeisdata/seq/A010/A010088.seq | b3465859fcae2182d31fcacfc58dace0 |
A010089 | Weight distribution of [255,247,3] Hamming code of length 255. | [
"1",
"0",
"0",
"10795",
"680085",
"33732216",
"1405509000",
"50008107375",
"1550251328625",
"42545493649000",
"1046619143765400",
"23311068641056875",
"473991729034823125",
"8859999141328482000",
"153151413728678046000"
]
| [
"nonn",
"fini",
"full"
]
| 22 | 0 | 4 | [
"A010089",
"A340030"
]
| null | N. J. A. Sloane | 2021-01-11T13:20:47 | oeisdata/seq/A010/A010089.seq | 163aea0d97fd1fca91d9aaaaab3302c0 |
A010090 | Weight distribution of d=4 Hamming code of length 15. | [
"1",
"0",
"105",
"280",
"435",
"168",
"35"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 7 | 0 | 3 | null | null | N. J. A. Sloane | 2025-07-08T01:29:28 | oeisdata/seq/A010/A010090.seq | af64e659cbfae4c6b43335f07038a201 |
A010091 | Weight distribution of d=4 Hamming code of length 31. | [
"1",
"0",
"1085",
"22568",
"247845",
"1383096",
"4414865",
"8280720",
"9398115",
"6440560",
"2648919",
"628680",
"82615",
"5208",
"155"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 19 | 0 | 3 | [
"A010086",
"A010091"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:34 | oeisdata/seq/A010/A010091.seq | 6000ad76953503050e5b9bbc888470eb |
A010092 | Weight distribution of d=4 Hamming code of length 63. | [
"1",
"0",
"9765",
"1057224",
"60544953",
"1996794072",
"41694856749",
"584173436400",
"5724932809365",
"40448633569680",
"210758816714985",
"823875120414360",
"2447745309517725",
"5580858785942664",
"9832942289229633",
"13449656041565856"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 12 | 0 | 3 | [
"A010087",
"A010092"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:39 | oeisdata/seq/A010/A010092.seq | 93f66a690019ac430c875d5d1d7a74bb |
A010093 | Weight distribution of d=4 Hamming code of length 127. | [
"1",
"0",
"82677",
"40346376",
"10472045985",
"1633772700952",
"167982323077989",
"12100259735369136",
"638087062835640873",
"25460924781434105040",
"788752649609653468509",
"19363706818511194074168"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 12 | 0 | 3 | [
"A010088",
"A010093"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:45 | oeisdata/seq/A010/A010093.seq | 3d0358e1c0554373e2522320f9f9ecab |
A010094 | Triangle of Euler-Bernoulli or Entringer numbers. | [
"1",
"1",
"1",
"2",
"2",
"1",
"5",
"5",
"4",
"2",
"16",
"16",
"14",
"10",
"5",
"61",
"61",
"56",
"46",
"32",
"16",
"272",
"272",
"256",
"224",
"178",
"122",
"61",
"1385",
"1385",
"1324",
"1202",
"1024",
"800",
"544",
"272",
"7936",
"7936",
"7664",
"7120",
"6320",
"5296",
"4094",
"2770",
"1385",
"50521",
"50521",
"49136",
"46366",
"42272",
"36976",
"30656",
"23536",
"15872",
"7936",
"353792"
]
| [
"nonn",
"tabl",
"easy",
"nice"
]
| 69 | 1 | 4 | [
"A000111",
"A006212",
"A006213",
"A008282",
"A010094"
]
| null | N. J. A. Sloane | 2022-10-14T07:02:49 | oeisdata/seq/A010/A010094.seq | b5a3b605849df5bc4a03a5d4d74f3d17 |
A010095 | Weight distribution of d=4 Hamming code of length 255. | [
"1",
"0",
"680085",
"1405509000",
"1550251328625",
"1046619143765400",
"473991729034823125",
"153151413728678046000",
"36909490731397295108625",
"6861064221248350742706000",
"1009876431641919171349467525"
]
| [
"nonn",
"fini",
"full",
"changed"
]
| 10 | 0 | 3 | [
"A010089",
"A010095"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:50 | oeisdata/seq/A010/A010095.seq | 6563106de8741401ff8b77e210757fc0 |
A010096 | log2*(n) (version 1): number of times floor(log_2(x)) is used in floor(log_2(floor(log_2(...(floor(log_2(n)))...)))) = 0. | [
"1",
"2",
"2",
"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",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4"
]
| [
"nonn",
"nice"
]
| 42 | 1 | 2 | [
"A000523",
"A001069",
"A010096",
"A063510",
"A230864"
]
| null | Leonid Broukhis | 2025-04-16T08:42:08 | oeisdata/seq/A010/A010096.seq | a3b85111fafe5011a676ba0e7b15551f |
A010097 | Prefix (or Levenshtein) codes for natural numbers. | [
"0",
"2",
"12",
"13",
"112",
"113",
"114",
"115",
"232",
"233",
"234",
"235",
"236",
"237",
"238",
"239",
"3840",
"3841",
"3842",
"3843",
"3844",
"3845",
"3846",
"3847",
"3848",
"3849",
"3850",
"3851",
"3852",
"3853",
"3854",
"3855",
"7712",
"7713",
"7714",
"7715"
]
| [
"nonn"
]
| 32 | 0 | 2 | [
"A000918",
"A010097",
"A171885"
]
| null | Leonid Broukhis | 2024-10-25T09:31:34 | oeisdata/seq/A010/A010097.seq | 774585999268fd42ec907caeb15a644d |
A010098 | a(n) = a(n-1)*a(n-2) with a(0)=1, a(1)=3. | [
"1",
"3",
"3",
"9",
"27",
"243",
"6561",
"1594323",
"10460353203",
"16677181699666569",
"174449211009120179071170507",
"2909321189362570808630465826492242446680483",
"507528786056415600719754159741696356908742250191663887263627442114881"
]
| [
"nonn"
]
| 59 | 0 | 2 | [
"A000045",
"A000301",
"A000304",
"A010098",
"A010099",
"A010100",
"A014565",
"A214706",
"A214887",
"A215270",
"A215271",
"A215272",
"A244003"
]
| null | N. J. A. Sloane | 2025-01-05T19:51:34 | oeisdata/seq/A010/A010098.seq | c4a0e84a9679524c1b4bb0c8e933fb2b |
A010099 | a(n) = a(n-1)*a(n-2) with a(0)=1, a(1)=4. | [
"1",
"4",
"4",
"16",
"64",
"1024",
"65536",
"67108864",
"4398046511104",
"295147905179352825856",
"1298074214633706907132624082305024",
"383123885216472214589586756787577295904684780545900544"
]
| [
"nonn",
"easy"
]
| 34 | 0 | 2 | [
"A000045",
"A000301",
"A010098",
"A010099",
"A010100",
"A014565",
"A214706",
"A214887",
"A215270",
"A215271",
"A215272",
"A244003"
]
| null | N. J. A. Sloane | 2025-01-05T19:51:34 | oeisdata/seq/A010/A010099.seq | 7fedb810ea0f2214507c3004fd0c14ba |
A010100 | a(n) = a(n-1)*a(n-2) with a(0)=1, a(1)=10. | [
"1",
"10",
"10",
"100",
"1000",
"100000",
"100000000",
"10000000000000",
"1000000000000000000000",
"10000000000000000000000000000000000",
"10000000000000000000000000000000000000000000000000000000"
]
| [
"nonn",
"changed"
]
| 25 | 0 | 2 | [
"A000045",
"A000301",
"A005614",
"A010098",
"A010099",
"A010100",
"A014565",
"A214706",
"A214887",
"A215270",
"A215271",
"A215272",
"A244003"
]
| null | N. J. A. Sloane | 2025-07-08T01:29:56 | oeisdata/seq/A010/A010100.seq | fb76c1337e7f27165bc43d34629246d2 |
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