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2025-04-28 00:58:08
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A007301 | From expansion of exp(sin x). | [
"1",
"1",
"-3",
"-3",
"217",
"-2951",
"5973",
"1237173",
"-52635599",
"1126610929",
"20058390573",
"-3920482183827",
"256734635981833",
"-8529964147714967",
"-383670903748980603",
"99786978811973617701",
"-10380441423510120242591",
"594094494902602207843297"
] | [
"sign",
"easy"
] | 21 | 0 | 3 | null | [
"M2296"
] | N. J. A. Sloane | 2018-12-22T12:27:52 | oeisdata/seq/A007/A007301.seq | cd0f02e2674799dd66a365f70b6b9b66 |
A007302 | Optimal cost function between two processors at distance n. | [
"0",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"3",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"3",
"4",
"3",
"4",
"3",
"3",
"2",
"3",
"3",
"4",
"3",
"4",
"3",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"2",
"2",
"1",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"3",
"4",
"3",
"4",
"3",
"3",
"2",
"3",
"3",
"4",
"3"
] | [
"nonn",
"easy",
"nice"
] | 90 | 0 | 4 | [
"A005578",
"A007302",
"A007583",
"A057526",
"A280737"
] | [
"M0103"
] | Simon Plouffe | 2025-02-19T11:56:39 | oeisdata/seq/A007/A007302.seq | ee24b6a741e7ed4cfb9bf2a844904d4d |
A007303 | Earliest monotonic sequence fixed (apart from signs) under reversion. | [
"1",
"2",
"4",
"7",
"10",
"12",
"18",
"40",
"44",
"45",
"1850",
"11604",
"11616",
"11617",
"2132568",
"17001726",
"17001743",
"17001744",
"6660587898",
"64431061179",
"64431061180",
"64431061181",
"46611108069964"
] | [
"nonn",
"nice",
"eigen"
] | 27 | 1 | 2 | null | [
"M1036"
] | N. J. A. Sloane | 2017-05-07T22:04:33 | oeisdata/seq/A007/A007303.seq | 79e84577a35cacfa6cdc7a4718282bd0 |
A007304 | Sphenic numbers: products of 3 distinct primes. | [
"30",
"42",
"66",
"70",
"78",
"102",
"105",
"110",
"114",
"130",
"138",
"154",
"165",
"170",
"174",
"182",
"186",
"190",
"195",
"222",
"230",
"231",
"238",
"246",
"255",
"258",
"266",
"273",
"282",
"285",
"286",
"290",
"310",
"318",
"322",
"345",
"354",
"357",
"366",
"370",
"374",
"385",
"399",
"402",
"406",
"410",
"418",
"426",
"429",
"430",
"434",
"435",
"438"
] | [
"nonn",
"easy",
"changed"
] | 113 | 1 | 1 | [
"A000040",
"A000212",
"A000217",
"A001399",
"A001840",
"A002033",
"A005117",
"A006881",
"A007304",
"A008289",
"A010051",
"A014311",
"A014612",
"A020639",
"A037074",
"A046316",
"A046386",
"A046387",
"A046389",
"A046393",
"A061299",
"A067467",
"A067885",
"A071140",
"A075818",
"A075819",
"A096917",
"A096918",
"A096919",
"A100765",
"A101271",
"A103653",
"A107464",
"A107768",
"A162143",
"A179643",
"A179695",
"A220377",
"A239656",
"A284825",
"A285508",
"A307534",
"A307719",
"A321773",
"A337453",
"A337599",
"A337605",
"A338471",
"A338556",
"A338557"
] | [
"M5207"
] | Simon Plouffe | 2025-04-14T05:39:06 | oeisdata/seq/A007/A007304.seq | 449f710d4b1d77a9a12069eb67f6c19f |
A007305 | Numerators of Farey (or Stern-Brocot) tree fractions. | [
"0",
"1",
"1",
"1",
"2",
"1",
"2",
"3",
"3",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"4",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"4",
"5",
"7",
"8",
"7",
"7",
"8",
"7",
"5",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"4",
"5",
"7",
"8",
"7",
"7",
"8",
"7",
"5",
"6",
"9",
"11",
"10",
"11",
"13",
"12",
"9",
"9",
"12",
"13",
"11",
"10",
"11",
"9",
"6",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"4",
"5",
"7",
"8",
"7",
"7",
"8",
"7",
"5",
"6",
"9",
"11",
"10",
"11",
"13",
"12",
"9",
"9",
"12",
"13",
"11"
] | [
"nonn",
"frac",
"tabf",
"nice",
"look"
] | 111 | 0 | 5 | [
"A006842",
"A006843",
"A007305",
"A007306",
"A047679",
"A054424",
"A057114",
"A152975"
] | [
"M0113"
] | N. J. A. Sloane | 2024-08-03T01:49:05 | oeisdata/seq/A007/A007305.seq | 05d79f127739999a9cd87f03e5ae4e1c |
A007306 | Denominators of Farey tree fractions (i.e., the Stern-Brocot subtree in the range [0,1]). | [
"1",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"4",
"5",
"7",
"8",
"7",
"7",
"8",
"7",
"5",
"6",
"9",
"11",
"10",
"11",
"13",
"12",
"9",
"9",
"12",
"13",
"11",
"10",
"11",
"9",
"6",
"7",
"11",
"14",
"13",
"15",
"18",
"17",
"13",
"14",
"19",
"21",
"18",
"17",
"19",
"16",
"11",
"11",
"16",
"19",
"17",
"18",
"21",
"19",
"14",
"13",
"17",
"18",
"15",
"13",
"14",
"11",
"7",
"8",
"13",
"17",
"16",
"19",
"23",
"22",
"17",
"19",
"26",
"29",
"25",
"24"
] | [
"nonn",
"frac",
"tabf",
"nice"
] | 316 | 0 | 3 | [
"A001222",
"A002487",
"A006842",
"A006843",
"A007305",
"A007306",
"A047679",
"A054424",
"A065674",
"A065675",
"A065810",
"A260443",
"A277324",
"A277328",
"A282714",
"A283986",
"A283987",
"A283988",
"A284009",
"A284265",
"A284266",
"A284267",
"A284268",
"A284565",
"A284566",
"A285106",
"A285107",
"A285108",
"A287731",
"A287732"
] | [
"M0437"
] | N. J. A. Sloane | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007306.seq | 9970b2f8778077c1ffbc161e559d84ed |
A007307 | a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2. | [
"0",
"1",
"2",
"1",
"3",
"3",
"4",
"6",
"7",
"10",
"13",
"17",
"23",
"30",
"40",
"53",
"70",
"93",
"123",
"163",
"216",
"286",
"379",
"502",
"665",
"881",
"1167",
"1546",
"2048",
"2713",
"3594",
"4761",
"6307",
"8355",
"11068",
"14662",
"19423",
"25730",
"34085",
"45153",
"59815",
"79238",
"104968",
"139053",
"184206",
"244021",
"323259",
"428227"
] | [
"nonn",
"easy"
] | 48 | 0 | 3 | [
"A000931",
"A001608",
"A007307"
] | null | N. J. A. Sloane | 2025-03-19T20:29:26 | oeisdata/seq/A007/A007307.seq | abdfc66a00c76d15f56e662c368881cf |
A007308 | Erroneous version of A383108. | [
"1",
"12",
"30",
"427"
] | [
"dead"
] | 25 | 0 | 2 | null | [
"M4832"
] | null | 2025-04-20T02:03:16 | oeisdata/seq/A007/A007308.seq | 00191c684ca59770366efb47d654523c |
A007309 | a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 4. | [
"0",
"1",
"4",
"1",
"5",
"5",
"6",
"10",
"11",
"16",
"21",
"27",
"37",
"48",
"64",
"85",
"112",
"149",
"197",
"261",
"346",
"458",
"607",
"804",
"1065",
"1411",
"1869",
"2476",
"3280",
"4345",
"5756",
"7625",
"10101",
"13381",
"17726",
"23482",
"31107",
"41208",
"54589",
"72315",
"95797",
"126904",
"168112",
"222701",
"295016",
"390813",
"517717",
"685829",
"908530"
] | [
"nonn",
"easy"
] | 10 | 0 | 3 | [
"A000931",
"A007309"
] | null | N. J. A. Sloane | 2025-03-19T20:28:44 | oeisdata/seq/A007/A007309.seq | 3bd83d48ebd37d532e0ff649eb58bc00 |
A007310 | Numbers congruent to 1 or 5 mod 6. | [
"1",
"5",
"7",
"11",
"13",
"17",
"19",
"23",
"25",
"29",
"31",
"35",
"37",
"41",
"43",
"47",
"49",
"53",
"55",
"59",
"61",
"65",
"67",
"71",
"73",
"77",
"79",
"83",
"85",
"89",
"91",
"95",
"97",
"101",
"103",
"107",
"109",
"113",
"115",
"119",
"121",
"125",
"127",
"131",
"133",
"137",
"139",
"143",
"145",
"149",
"151",
"155",
"157",
"161",
"163",
"167",
"169",
"173",
"175"
] | [
"nonn",
"easy"
] | 498 | 1 | 2 | [
"A000027",
"A000330",
"A001580",
"A002194",
"A005408",
"A007310",
"A007775",
"A008364",
"A008366",
"A016921",
"A016945",
"A016969",
"A019670",
"A032528",
"A038179",
"A038509",
"A047209",
"A047229",
"A047336",
"A047522",
"A056020",
"A084967",
"A090771",
"A091998",
"A105397",
"A126760",
"A140475",
"A144065",
"A166061",
"A166063",
"A175885",
"A175887",
"A186422",
"A260717"
] | null | C. Christofferson (Magpie56(AT)aol.com) | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007310.seq | c5d811d72ec2f68f02470f07227d9885 |
A007311 | Reversion of o.g.f. for Bell numbers (A000110) omitting a(0)=1. | [
"1",
"-2",
"3",
"-5",
"7",
"-14",
"11",
"-66",
"-127",
"-992",
"-5029",
"-30899",
"-193321",
"-1285300",
"-8942561",
"-65113125",
"-494605857",
"-3911658640",
"-32145949441",
"-274036507173",
"-2419502677445",
"-22093077575496",
"-208364964369913",
"-2027216779571754",
"-20323053380033763",
"-209715614081160850"
] | [
"sign"
] | 27 | 1 | 2 | [
"A000110",
"A007311"
] | [
"M0676"
] | N. J. A. Sloane, Mira Bernstein | 2022-10-05T04:58:33 | oeisdata/seq/A007/A007311.seq | a03595d401c1d6982149aaa10223ab77 |
A007312 | Reversion of g.f. (with constant term omitted) for partition numbers. | [
"1",
"-2",
"5",
"-15",
"52",
"-200",
"825",
"-3565",
"15900",
"-72532",
"336539",
"-1582593",
"7524705",
"-36111810",
"174695712",
"-851020367",
"4171156249",
"-20555470155",
"101787990805",
"-506227992092",
"2527493643612",
"-12663916942984",
"63656297034920",
"-320914409885850",
"1622205233276889"
] | [
"sign",
"easy"
] | 34 | 1 | 2 | [
"A000041",
"A007312",
"A050393",
"A066398",
"A334315"
] | [
"M1482"
] | N. J. A. Sloane, Mira Bernstein | 2024-01-18T06:23:18 | oeisdata/seq/A007/A007312.seq | 67c7cc2ee9ca612f533730be9f3cc906 |
A007313 | Reversion of g.f. for Euler (secant) numbers A000364. | [
"1",
"-1",
"-3",
"-41",
"-1035",
"-40721",
"-2291331",
"-174783865",
"-17394878523",
"-2192620580129",
"-341767803858867",
"-64587124941406473",
"-14555427555355014123",
"-3857289820949315456817"
] | [
"sign"
] | 20 | 1 | 3 | [
"A000364",
"A007313"
] | [
"M3149"
] | N. J. A. Sloane, Mira Bernstein | 2014-01-27T08:54:42 | oeisdata/seq/A007/A007313.seq | 3d90189b653ba1a767adfeb28a1ad4fa |
A007314 | Reversion of o.g.f. for tangent numbers. | [
"1",
"-2",
"-8",
"-152",
"-5024",
"-247616",
"-16845056",
"-1510219136",
"-172781715968",
"-24607783918592",
"-4275324219846656",
"-890827947571834880",
"-219400661959063912448",
"-63076591184224413974528",
"-20939716311776104453111808"
] | [
"sign"
] | 16 | 1 | 2 | [
"A000182",
"A007314"
] | [
"M1905"
] | N. J. A. Sloane, Mira Bernstein | 2014-01-27T08:54:42 | oeisdata/seq/A007/A007314.seq | 3b35a86d4317b56c69a4c591472e079c |
A007315 | Reversion of g.f. (beginning with constant term) for number of trees with n nodes. | [
"1",
"-1",
"1",
"-1",
"0",
"4",
"-16",
"46",
"-111",
"228",
"-379",
"389",
"393",
"-3810",
"14169",
"-39735",
"91861",
"-172623",
"225378",
"10246",
"-1347935",
"5843671",
"-17779693",
"43942706",
"-89033228",
"133666868",
"-64088688",
"-508956437",
"2636138606",
"-8664888857",
"22760994036",
"-49429259575"
] | [
"sign",
"easy"
] | 18 | 1 | 6 | [
"A000055",
"A007315",
"A037247"
] | [
"M3512"
] | N. J. A. Sloane, Mira Bernstein | 2014-01-27T08:54:42 | oeisdata/seq/A007/A007315.seq | 380f1e0d767f0e5d43484b74a31e0e9b |
A007316 | Reversion of g.f. for Euler numbers A000111(n-1). | [
"1",
"-1",
"1",
"-2",
"3",
"-9",
"9",
"-71",
"-96",
"-1325",
"-6843",
"-54922",
"-417975",
"-3586117",
"-32531983",
"-316599861",
"-3274076017",
"-35914014266",
"-416386323306",
"-5088908019824",
"-65392831090975",
"-881473287321301",
"-12437647407521019",
"-183345613125389337"
] | [
"sign"
] | 26 | 1 | 4 | [
"A000111",
"A007316"
] | [
"M0895"
] | N. J. A. Sloane, Mira Bernstein | 2022-10-05T04:58:43 | oeisdata/seq/A007/A007316.seq | 72593d7005e5c8cc1384f565cdcee702 |
A007317 | Binomial transform of Catalan numbers. | [
"1",
"2",
"5",
"15",
"51",
"188",
"731",
"2950",
"12235",
"51822",
"223191",
"974427",
"4302645",
"19181100",
"86211885",
"390248055",
"1777495635",
"8140539950",
"37463689775",
"173164232965",
"803539474345",
"3741930523740",
"17481709707825",
"81912506777200",
"384847173838501",
"1812610804416698"
] | [
"easy",
"nonn",
"nice"
] | 309 | 1 | 2 | [
"A000045",
"A000108",
"A000957",
"A005043",
"A007317",
"A026376",
"A026378",
"A033321",
"A055879",
"A057078",
"A059346",
"A064613",
"A091699",
"A091867",
"A104259",
"A104455",
"A104498",
"A104597",
"A121988",
"A126930",
"A154623",
"A162326",
"A181768",
"A249548"
] | [
"M1480"
] | N. J. A. Sloane, Mira Bernstein | 2025-01-20T10:51:21 | oeisdata/seq/A007/A007317.seq | edf434a739c08618471eb8a88b5ea8aa |
A007318 | Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. | [
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"3",
"1",
"1",
"4",
"6",
"4",
"1",
"1",
"5",
"10",
"10",
"5",
"1",
"1",
"6",
"15",
"20",
"15",
"6",
"1",
"1",
"7",
"21",
"35",
"35",
"21",
"7",
"1",
"1",
"8",
"28",
"56",
"70",
"56",
"28",
"8",
"1",
"1",
"9",
"36",
"84",
"126",
"126",
"84",
"36",
"9",
"1",
"1",
"10",
"45",
"120",
"210",
"252",
"210",
"120",
"45",
"10",
"1",
"1",
"11",
"55",
"165",
"330",
"462",
"462",
"330",
"165",
"55",
"11",
"1"
] | [
"nonn",
"tabl",
"nice",
"easy",
"core",
"look",
"hear",
"changed"
] | 1,059 | 0 | 5 | [
"A000007",
"A000045",
"A000071",
"A000079",
"A000930",
"A001263",
"A001519",
"A001924",
"A003269",
"A005251",
"A007318",
"A008277",
"A008949",
"A011782",
"A011973",
"A014162",
"A014166",
"A026729",
"A027465",
"A027926",
"A034943",
"A036355",
"A037027",
"A038207",
"A047999",
"A051920",
"A052216",
"A052217",
"A052218",
"A052219",
"A052220",
"A052221",
"A052222",
"A052223",
"A052544",
"A052553",
"A053295",
"A053296",
"A053308",
"A053309",
"A053739",
"A055988",
"A056939",
"A056940",
"A056941",
"A061554",
"A074829",
"A083093",
"A085478",
"A101164",
"A102363",
"A105809",
"A107430",
"A108044",
"A109906",
"A111006",
"A114197",
"A115940",
"A132311",
"A132312",
"A137948",
"A142465",
"A142467",
"A142468",
"A144225",
"A162741",
"A174109",
"A193242",
"A202750",
"A211226",
"A214292",
"A228074",
"A228196",
"A228576",
"A245334",
"A258993",
"A325000",
"A325002",
"A325003",
"A325009",
"A325017",
"A342889",
"A342890",
"A342891"
] | [
"M0082"
] | N. J. A. Sloane and Mira Bernstein, Apr 28 1994 | 2025-04-18T13:01:28 | oeisdata/seq/A007/A007318.seq | 39a527190aa4c6a06918e4c017905a8e |
A007319 | A grasshopper sequence: closed under n -> 2n+2 and 6n+6. | [
"1",
"4",
"10",
"12",
"22",
"26",
"30",
"46",
"54",
"62",
"66",
"78",
"94",
"110",
"126",
"134",
"138",
"158",
"162",
"186",
"190",
"222",
"254",
"270",
"278",
"282",
"318",
"326",
"330",
"374",
"378",
"382",
"402",
"446",
"474",
"510",
"542",
"558",
"566",
"570",
"638",
"654",
"662",
"666",
"750",
"758",
"762",
"766",
"806",
"810",
"834",
"894",
"950",
"954",
"978"
] | [
"nonn",
"easy"
] | 17 | 1 | 2 | [
"A007319",
"A060031"
] | [
"M3373"
] | N. J. A. Sloane, Mira Bernstein | 2020-04-15T16:37:15 | oeisdata/seq/A007/A007319.seq | e7c2e4c18207c9731afa5c829eff5607 |
A007320 | Number of steps needed for juggler sequence (A094683) started at n to reach 1. | [
"0",
"1",
"6",
"2",
"5",
"2",
"4",
"2",
"7",
"7",
"4",
"7",
"4",
"7",
"6",
"3",
"4",
"3",
"9",
"3",
"9",
"3",
"9",
"3",
"11",
"6",
"6",
"6",
"9",
"6",
"6",
"6",
"8",
"6",
"8",
"3",
"17",
"3",
"14",
"3",
"5",
"3",
"6",
"3",
"6",
"3",
"6",
"3",
"11",
"5",
"11",
"5",
"11",
"5",
"11",
"5",
"5",
"5",
"11",
"5",
"11",
"5",
"5",
"3",
"5",
"3",
"11",
"3",
"14",
"3",
"5",
"3",
"8",
"3",
"8",
"3",
"19",
"3",
"8",
"3",
"10",
"8",
"8",
"8",
"11",
"8",
"10",
"8",
"11",
"8",
"11",
"8",
"11",
"8",
"8",
"8",
"11"
] | [
"nonn"
] | 42 | 1 | 3 | [
"A007320",
"A007321",
"A093685",
"A094679",
"A094683",
"A094698",
"A094716"
] | [
"M4047"
] | N. J. A. Sloane, Robert G. Wilson v, Mira Bernstein | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007320.seq | e11dff1a91b8eea48fc4275b2d4c676b |
A007321 | Number of steps needed for modified juggler sequence (A094685) started at n to reach 1. | [
"0",
"1",
"6",
"2",
"5",
"2",
"13",
"7",
"10",
"7",
"4",
"7",
"6",
"3",
"9",
"3",
"9",
"3",
"12",
"3",
"9",
"6",
"9",
"6",
"19",
"6",
"9",
"6",
"9",
"6",
"16",
"3",
"5",
"3",
"8",
"3",
"16",
"3",
"5",
"3",
"14",
"3",
"11",
"14",
"11",
"14",
"5",
"14",
"14",
"14",
"14",
"14",
"5",
"14",
"5",
"14",
"11",
"8",
"11",
"8",
"8",
"8",
"8",
"8",
"11",
"8",
"11",
"8",
"8",
"8",
"8",
"8",
"21",
"11",
"21",
"11",
"8",
"11",
"8",
"11",
"19",
"11",
"11",
"11",
"8",
"11",
"11",
"11",
"11"
] | [
"nonn",
"easy"
] | 30 | 1 | 3 | [
"A007320",
"A007321",
"A094683",
"A094685"
] | [
"M4048"
] | N. J. A. Sloane, Robert G. Wilson v, Mira Bernstein | 2019-03-03T14:41:31 | oeisdata/seq/A007/A007321.seq | 2d47e1018a5a6f32273051c29354669d |
A007322 | Number of functors of degree n from free Abelian groups to Abelian groups. | [
"1",
"6",
"39",
"320",
"3281",
"40558",
"586751",
"9719616",
"181353777",
"3762893750",
"85934344775",
"2141853777856",
"57852105131809",
"1683237633305502",
"52483648929669119",
"1745835287515739328",
"61712106494672572641",
"2309989101145068446502",
"91279147976756195994983"
] | [
"nonn",
"nice"
] | 20 | 1 | 2 | null | [
"M4231"
] | Don Zagier (don.zagier(AT)mpim-bonn.mpg.de), Apr 11 1994 | 2017-10-07T00:09:58 | oeisdata/seq/A007/A007322.seq | e0d8237409df0fd86489c5e9a9f74f4c |
A007323 | Number of numerical semigroups of genus n; conjecturally also the number of power sum bases for symmetric functions in n variables. | [
"1",
"1",
"2",
"4",
"7",
"12",
"23",
"39",
"67",
"118",
"204",
"343",
"592",
"1001",
"1693",
"2857",
"4806",
"8045",
"13467",
"22464",
"37396",
"62194",
"103246",
"170963",
"282828",
"467224",
"770832",
"1270267",
"2091030",
"3437839",
"5646773",
"9266788",
"15195070",
"24896206",
"40761087",
"66687201",
"109032500"
] | [
"nonn",
"nice"
] | 225 | 0 | 3 | [
"A007323",
"A199711"
] | [
"M1064"
] | Don Zagier (don.zagier(AT)mpim-bonn.mpg.de), Apr 11 1994 | 2025-04-13T16:36:11 | oeisdata/seq/A007/A007323.seq | 739b044a1b4fde64d2a522d96bb70083 |
A007324 | Least number for which Solovay-Strassen primality test on bases < prime(n) fails. | [
"9",
"561",
"1729",
"1729",
"399001",
"399001",
"1857241",
"1857241",
"6189121",
"14469841",
"14469841",
"14469841"
] | [
"nonn",
"more"
] | 17 | 1 | 1 | [
"A007324",
"A083876",
"A271221",
"A329726"
] | [
"M5443"
] | N. J. A. Sloane, Eric Bach (bach(AT)cs.wisc.edu) | 2022-06-04T08:00:25 | oeisdata/seq/A007/A007324.seq | 898252d7b0a68aa4abd588e506ab7ceb |
A007325 | G.f.: Product_{k>0} (1-x^(5k-1))*(1-x^(5k-4))/((1-x^(5k-2))*(1-x^(5k-3))). | [
"1",
"-1",
"1",
"0",
"-1",
"1",
"-1",
"1",
"0",
"-1",
"2",
"-3",
"2",
"0",
"-2",
"4",
"-4",
"3",
"-1",
"-3",
"6",
"-7",
"5",
"0",
"-5",
"9",
"-10",
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"-1",
"-7",
"14",
"-16",
"11",
"-1",
"-11",
"20",
"-22",
"16",
"-2",
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"29",
"-33",
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"-23",
"41",
"-45",
"32",
"-4",
"-30",
"57",
"-64",
"45",
"-4",
"-43",
"78",
"-86",
"60",
"-7",
"-57",
"107",
"-119",
"83",
"-8",
"-79",
"143"
] | [
"sign",
"easy",
"nice"
] | 86 | 0 | 11 | [
"A003823",
"A007325",
"A055101",
"A055102",
"A055103",
"A167683"
] | [
"M0415"
] | N. J. A. Sloane, Mira Bernstein | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007325.seq | ed6e8ff2e2a5b6815e693ff5deea5e06 |
A007326 | Difference between A000294 and the number of solid partitions of n (A000293). | [
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"3",
"8",
"19",
"40",
"83",
"176",
"365",
"775",
"1643",
"3483",
"7299",
"15170",
"31010",
"62563",
"124221",
"243296",
"469856",
"896491",
"1690475",
"3155551",
"5834871",
"10701036",
"19479021",
"35227889",
"63335778",
"113286272",
"201687929",
"357585904",
"631574315",
"1111614614",
"1950096758",
"3410420973",
"5946337698",
"10337420278",
"17918573379",
"30968896662",
"53366449357",
"91689380979",
"157058043025",
"268210414468",
"456613323892"
] | [
"nonn"
] | 30 | 0 | 8 | [
"A000293",
"A000294",
"A007326",
"A007327",
"A007328",
"A007329",
"A007330",
"A008780",
"A042984"
] | [
"M2734"
] | N. J. A. Sloane, Mira Bernstein | 2019-08-09T12:17:51 | oeisdata/seq/A007/A007326.seq | fe6fdf28af60b1ac78137e835146c34c |
A007327 | Difference between two partition g.f.s. | [
"0",
"0",
"0",
"0",
"0",
"5",
"20",
"69",
"200",
"521",
"1294",
"3126",
"7364",
"17309",
"40577",
"95460",
"224971",
"531368",
"1252664",
"2943095",
"6870029",
"15911618",
"36507381",
"82930347",
"186414619",
"414654766",
"912766795",
"1989007381",
"4292038414",
"9175624264",
"19442250125",
"40851448761",
"85157787033",
"176200110937"
] | [
"nonn"
] | 27 | 1 | 6 | [
"A000334",
"A000335",
"A007326",
"A007327",
"A007328",
"A007329",
"A007330",
"A008780",
"A042984"
] | [
"M3900"
] | N. J. A. Sloane, Mira Bernstein | 2024-05-11T09:15:31 | oeisdata/seq/A007/A007327.seq | 467ade03396d104d7da3782850dc8b99 |
A007328 | Difference between the number of 5-dimensional partitions of n and an approximation derived from binomial(n,4). | [
"0",
"0",
"0",
"0",
"0",
"15",
"75",
"310",
"1060",
"3281",
"9564",
"26719",
"72239",
"191569",
"500797",
"1299925",
"3362473",
"8697198",
"22513878",
"58352126",
"151267141",
"391728632",
"1011734975",
"2602330120",
"6657204192",
"16920629023",
"42697311397",
"106912113623",
"265560809521",
"654270114555"
] | [
"nonn",
"more"
] | 39 | 1 | 6 | [
"A000390",
"A000391",
"A007326",
"A007327",
"A007328",
"A007329",
"A007330"
] | [
"M4972"
] | N. J. A. Sloane, Mira Bernstein | 2025-01-13T07:48:31 | oeisdata/seq/A007/A007328.seq | d5cb3b9d000ac911195ba6b5cd436af9 |
A007329 | Unexplained difference between two partition generating functions. | [
"0",
"0",
"0",
"0",
"0",
"35",
"210",
"1001",
"3927",
"13971",
"46592",
"148337",
"455609",
"1362656",
"3989914",
"11504669",
"32804967",
"92877609",
"261846522"
] | [
"nonn",
"more"
] | 22 | 1 | 6 | [
"A000416",
"A000417",
"A007326",
"A007327",
"A007328",
"A007329",
"A007330"
] | [
"M5247"
] | N. J. A. Sloane, Mira Bernstein | 2020-09-24T11:37:22 | oeisdata/seq/A007/A007329.seq | 5c9783502e52cd35e8ebb6143b9d4d3e |
A007330 | Difference between the number of 7-dimensional partitions of n and an approximation derived from binomial(n,6). | [
"0",
"0",
"0",
"0",
"0",
"70",
"490",
"2632",
"11606",
"46375",
"173362",
"618086",
"2123709",
"7086864",
"23085942",
"73761644",
"232002909",
"720819622",
"2218608551",
"6782480955"
] | [
"nonn",
"more"
] | 26 | 1 | 6 | [
"A000427",
"A000428",
"A007326",
"A007327",
"A007328",
"A007329",
"A007330"
] | [
"M5338"
] | N. J. A. Sloane, Mira Bernstein | 2025-01-13T07:48:43 | oeisdata/seq/A007/A007330.seq | 2bb44e2efe5837ff4909aad78202b500 |
A007331 | Fourier coefficients of E_{infinity,4}. | [
"0",
"1",
"8",
"28",
"64",
"126",
"224",
"344",
"512",
"757",
"1008",
"1332",
"1792",
"2198",
"2752",
"3528",
"4096",
"4914",
"6056",
"6860",
"8064",
"9632",
"10656",
"12168",
"14336",
"15751",
"17584",
"20440",
"22016",
"24390",
"28224",
"29792",
"32768",
"37296",
"39312",
"43344",
"48448",
"50654",
"54880",
"61544",
"64512"
] | [
"easy",
"nice",
"nonn",
"mult"
] | 148 | 0 | 3 | [
"A002408",
"A004017",
"A007331",
"A008438",
"A008439",
"A008440",
"A008441",
"A008443",
"A010054",
"A014787",
"A014809",
"A035016",
"A045825",
"A076577",
"A096960",
"A222072",
"A226252",
"A226253",
"A226254",
"A226255"
] | [
"M4503"
] | N. J. A. Sloane, Mira Bernstein | 2022-10-21T10:07:24 | oeisdata/seq/A007/A007331.seq | 4146a072b871ba472e559b86a569a1e8 |
A007332 | Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q. | [
"0",
"1",
"-6",
"9",
"4",
"6",
"-54",
"-40",
"168",
"81",
"-36",
"-564",
"36",
"638",
"240",
"54",
"-1136",
"882",
"-486",
"-556",
"24",
"-360",
"3384",
"-840",
"1512",
"-3089",
"-3828",
"729",
"-160",
"4638",
"-324",
"4400",
"1440",
"-5076",
"-5292",
"-240",
"324",
"-2410",
"3336",
"5742",
"1008",
"-6870",
"2160",
"9644",
"-2256",
"486",
"5040"
] | [
"sign",
"easy",
"nice",
"mult"
] | 44 | 0 | 3 | [
"A007332",
"A030208"
] | [
"M4075"
] | N. J. A. Sloane, Mira Bernstein | 2022-09-08T08:44:35 | oeisdata/seq/A007/A007332.seq | 1a4fc7774700466e49176bc2099d77c6 |
A007333 | An upper bound on the biplanar crossing number of the complete graph on n nodes. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"4",
"7",
"12",
"18",
"37",
"53",
"75",
"100",
"152",
"198",
"256",
"320",
"430",
"530",
"650",
"780",
"980",
"1165",
"1380",
"1610",
"1939",
"2247",
"2597",
"2968",
"3472",
"3948",
"4480",
"5040",
"5772",
"6468",
"7236",
"8040",
"9060",
"10035",
"11100",
"12210",
"13585",
"14905",
"16335",
"17820",
"19624",
"21362"
] | [
"nonn",
"nice",
"easy"
] | 34 | 1 | 9 | [
"A000241",
"A007333",
"A028723"
] | [
"M3306"
] | N. J. A. Sloane | 2022-02-13T17:45:48 | oeisdata/seq/A007/A007333.seq | cc72802955d3c2044c433f6acfdf314d |
A007334 | Number of spanning trees in the graph K_{n}/e, which results from contracting an edge e in the complete graph K_{n} on n vertices (for n>=2). | [
"1",
"2",
"8",
"50",
"432",
"4802",
"65536",
"1062882",
"20000000",
"428717762",
"10319560704",
"275716983698",
"8099130339328",
"259492675781250",
"9007199254740992",
"336755653118801858",
"13493281232954916864",
"576882827135242335362",
"26214400000000000000000"
] | [
"nonn"
] | 54 | 2 | 2 | [
"A007334",
"A007830",
"A058127"
] | [
"M1883"
] | N. J. A. Sloane | 2024-06-28T01:28:19 | oeisdata/seq/A007/A007334.seq | 192a30c8b901c1e880f97d383c0f5026 |
A007335 | MU-numbers: next term is uniquely the product of 2 earlier terms. | [
"2",
"3",
"6",
"12",
"18",
"24",
"48",
"54",
"96",
"162",
"192",
"216",
"384",
"486",
"768",
"864",
"1458",
"1536",
"1944",
"3072",
"3456",
"4374",
"6144",
"7776",
"12288",
"13122",
"13824",
"17496",
"24576",
"31104",
"39366",
"49152",
"55296",
"69984",
"98304",
"118098",
"124416",
"157464",
"196608",
"221184",
"279936"
] | [
"nonn",
"easy",
"nice"
] | 47 | 1 | 1 | [
"A000423",
"A003586",
"A007335",
"A054540",
"A261255"
] | [
"M0794"
] | N. J. A. Sloane | 2025-03-12T08:19:30 | oeisdata/seq/A007/A007335.seq | 0dd5c828db9047b72f0470e2f57a5d61 |
A007336 | Signature sequence of sqrt 2 (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x). | [
"1",
"2",
"1",
"3",
"2",
"1",
"4",
"3",
"2",
"5",
"1",
"4",
"3",
"6",
"2",
"5",
"1",
"4",
"7",
"3",
"6",
"2",
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"2",
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"2",
"5",
"8",
"1",
"11",
"4",
"7",
"10",
"3",
"6",
"9",
"2",
"12",
"5",
"8",
"1",
"11",
"4",
"7",
"10",
"3",
"13",
"6",
"9",
"2",
"12",
"5",
"8",
"1",
"11",
"4",
"14",
"7",
"10",
"3",
"13",
"6",
"9",
"2",
"12",
"5",
"15",
"8",
"1",
"11",
"4",
"14",
"7",
"10",
"3",
"13",
"6",
"16",
"9",
"2"
] | [
"nonn",
"easy",
"nice",
"eigen"
] | 42 | 1 | 2 | [
"A007336",
"A007337",
"A022775"
] | [
"M0137"
] | N. J. A. Sloane, Clark Kimberling | 2024-09-11T00:36:40 | oeisdata/seq/A007/A007336.seq | c02252875552dd893cccb479dcf91922 |
A007337 | Signature sequence of sqrt(3). | [
"1",
"2",
"1",
"3",
"2",
"4",
"1",
"3",
"5",
"2",
"4",
"6",
"1",
"3",
"5",
"7",
"2",
"4",
"6",
"1",
"8",
"3",
"5",
"7",
"2",
"9",
"4",
"6",
"1",
"8",
"3",
"10",
"5",
"7",
"2",
"9",
"4",
"11",
"6",
"1",
"8",
"3",
"10",
"5",
"12",
"7",
"2",
"9",
"4",
"11",
"6",
"13",
"1",
"8",
"3",
"10",
"5",
"12",
"7",
"14",
"2",
"9",
"4",
"11",
"6",
"13",
"1",
"8",
"15",
"3",
"10",
"5",
"12",
"7",
"14",
"2",
"9",
"16",
"4",
"11",
"6",
"13",
"1",
"8",
"15",
"3",
"10",
"17",
"5",
"12",
"7",
"14",
"2",
"9"
] | [
"nonn"
] | 25 | 1 | 2 | [
"A007337",
"A022778"
] | [
"M0144"
] | N. J. A. Sloane, Clark Kimberling | 2024-05-27T10:50:19 | oeisdata/seq/A007/A007337.seq | 3ceed6e1bc33cbc22f98cee1df8e3d6a |
A007338 | Multiplicative encoding of the Eulerian number triangle. | [
"2",
"2",
"6",
"810",
"121096582031250",
"7114504036033012131698570347034029677643282574273086993343895301222801208496093750"
] | [
"nonn"
] | 24 | 0 | 1 | [
"A007338",
"A173018"
] | [
"M1726"
] | N. J. A. Sloane. | 2024-10-12T21:33:20 | oeisdata/seq/A007/A007338.seq | 4091f7f32ab4c6adf2c83ac7a0ed727d |
A007339 | a(n) = n! - n^3. | [
"1",
"0",
"-6",
"-21",
"-40",
"-5",
"504",
"4697",
"39808",
"362151",
"3627800",
"39915469",
"478999872",
"6227018603",
"87178288456",
"1307674364625",
"20922789883904",
"355687428091087",
"6402373705722168",
"121645100408825141",
"2432902008176632000"
] | [
"sign"
] | 31 | 0 | 3 | [
"A000142",
"A000578",
"A007339"
] | [
"M4140"
] | N. J. A. Sloane | 2022-09-08T08:44:35 | oeisdata/seq/A007/A007339.seq | 5a4264d0778d9511588d4d73981ad278 |
A007340 | Numbers whose divisors' harmonic and arithmetic means are both integers. | [
"1",
"6",
"140",
"270",
"672",
"1638",
"2970",
"6200",
"8190",
"18600",
"18620",
"27846",
"30240",
"32760",
"55860",
"105664",
"117800",
"167400",
"173600",
"237510",
"242060",
"332640",
"360360",
"539400",
"695520",
"726180",
"753480",
"1089270",
"1421280",
"1539720",
"2229500",
"2290260",
"2457000"
] | [
"nonn",
"nice"
] | 69 | 1 | 2 | [
"A001599",
"A001600",
"A003601",
"A007340",
"A007691",
"A046985",
"A046987",
"A046999",
"A054025",
"A090945"
] | [
"M4299"
] | N. J. A. Sloane | 2022-04-19T07:26:50 | oeisdata/seq/A007/A007340.seq | cb797daee52b89bd363cf486a22c87a0 |
A007341 | Number of spanning trees in n X n grid. | [
"1",
"4",
"192",
"100352",
"557568000",
"32565539635200",
"19872369301840986112",
"126231322912498539682594816",
"8326627661691818545121844900397056",
"5694319004079097795957215725765328371712000",
"40325021721404118513276859513497679249183623593590784",
"2954540993952788006228764987084443226815814190099484786032640000"
] | [
"nonn",
"easy"
] | 110 | 1 | 2 | [
"A007341",
"A080690",
"A080691",
"A116469",
"A256043",
"A256045",
"A300006",
"A300007",
"A300008",
"A300009",
"A349718"
] | [
"M3721"
] | N. J. A. Sloane | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007341.seq | a5de044e1837fea910afac65c12d2c87 |
A007342 | Erroneous version of A001353. | [
"1",
"4",
"15",
"59",
"209",
"780"
] | [
"dead"
] | 16 | 1 | 2 | null | [
"M3502"
] | null | 2017-12-19T23:01:00 | oeisdata/seq/A007/A007342.seq | dd6b5728f578be95430a31675e35dbef |
A007343 | Number of homogeneous primitive partition identities with largest part n. | [
"1",
"5",
"16",
"51",
"127",
"340",
"798",
"1830",
"3916",
"8569",
"16968"
] | [
"nonn",
"more"
] | 19 | 3 | 2 | null | [
"M3868"
] | N. J. A. Sloane, Mira Bernstein | 2017-12-30T15:11:00 | oeisdata/seq/A007/A007343.seq | 398e2e8471c3e8f9b7c437a207dd93d5 |
A007344 | Number of homogeneous primitive partition identities of degree 6 with largest part n. | [
"2",
"7",
"22",
"54",
"118",
"230",
"418",
"710",
"1150",
"1783",
"2672",
"3882",
"5500",
"7614",
"10338",
"13788",
"18108",
"23445",
"29978",
"37888",
"47392",
"58710",
"72100",
"87824",
"106186",
"127493",
"152098",
"180358",
"212678",
"249468",
"291190",
"338310",
"391350",
"450837",
"517356",
"591498",
"673916"
] | [
"nonn"
] | 17 | 4 | 1 | null | [
"M1756"
] | N. J. A. Sloane, Mira Bernstein | 2017-12-26T15:33:49 | oeisdata/seq/A007/A007344.seq | e10e7fbd023528dcb4eb504cd22e2dd2 |
A007345 | Number of Havender tableaux of height 2 with n columns. | [
"1",
"4",
"21",
"127",
"831",
"5722",
"40879",
"300440",
"2258455",
"17291704",
"134417955",
"1058279251",
"8422155293",
"67647554826",
"547699155261",
"4465275681735",
"36627214297455",
"302067234113560",
"2503174651819435",
"20832888975309257",
"174057811108059017",
"1459365504991034106"
] | [
"nonn"
] | 36 | 0 | 2 | [
"A007345",
"A259992"
] | [
"M3575"
] | N. J. A. Sloane, Mira Bernstein | 2017-12-28T18:52:56 | oeisdata/seq/A007/A007345.seq | b66c8defe8ef31ed6f1dbef86c3aba8d |
A007346 | Order of group generated by perfect shuffles of 2n cards. | [
"2",
"8",
"24",
"24",
"1920",
"7680",
"322560",
"64",
"92897280",
"3715891200",
"40874803200",
"194641920",
"25505877196800",
"1428329123020800",
"21424936845312000",
"160",
"23310331287699456000",
"1678343852714360832000",
"31888533201572855808000"
] | [
"nonn",
"nice",
"easy"
] | 43 | 1 | 1 | [
"A002326",
"A002671",
"A007346",
"A024222",
"A274299",
"A274303"
] | [
"M1909"
] | N. J. A. Sloane, Mira Bernstein | 2021-07-10T06:58:20 | oeisdata/seq/A007/A007346.seq | 528f5f5bc3bb43bf91cea62b51f5e22d |
A007347 | Maximal Eulerian numbers of second kind. | [
"1",
"1",
"2",
"8",
"58",
"444",
"4400",
"58140",
"785304",
"12440064",
"238904904",
"4642163952",
"101180433024",
"2549865473424",
"64728375139872",
"1797171220690560",
"56071264983487776",
"1758073054805500608",
"59321137058404865280",
"2206689692993315764416",
"82380712138316751438720"
] | [
"nonn"
] | 33 | 0 | 3 | [
"A007347",
"A201637"
] | [
"M1889"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2020-05-03T02:56:39 | oeisdata/seq/A007/A007347.seq | f6bcd92c8879780986e14fcf922c739c |
A007348 | Primes for which -10 is a primitive root. | [
"3",
"17",
"29",
"31",
"43",
"61",
"67",
"71",
"83",
"97",
"107",
"109",
"113",
"149",
"151",
"163",
"181",
"191",
"193",
"199",
"227",
"229",
"233",
"257",
"269",
"283",
"307",
"311",
"313",
"337",
"347",
"359",
"389",
"431",
"433",
"439",
"443",
"461",
"467",
"479",
"509",
"523",
"541",
"563",
"577",
"587",
"593",
"599",
"631",
"683",
"701",
"709",
"719",
"787",
"821",
"827",
"839"
] | [
"nonn"
] | 31 | 1 | 1 | [
"A006883",
"A007348",
"A038880",
"A097443"
] | [
"M3035"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2021-09-25T16:17:05 | oeisdata/seq/A007/A007348.seq | 4eac73ad2cc1bd5b664065307a9e126c |
A007349 | Primes with both 10 and -10 as primitive root. | [
"17",
"29",
"61",
"97",
"109",
"113",
"149",
"181",
"193",
"229",
"233",
"257",
"269",
"313",
"337",
"389",
"433",
"461",
"509",
"541",
"577",
"593",
"701",
"709",
"821",
"857",
"937",
"941",
"953",
"977",
"1021",
"1033",
"1069",
"1097"
] | [
"nonn"
] | 21 | 1 | 1 | null | [
"M5034"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2019-10-10T12:53:46 | oeisdata/seq/A007/A007349.seq | 4dbd74886c98d301b21a3809485f6149 |
A007350 | Where the prime race 4k-1 vs. 4k+1 changes leader. | [
"3",
"26861",
"26879",
"616841",
"617039",
"617269",
"617471",
"617521",
"617587",
"617689",
"617723",
"622813",
"623387",
"623401",
"623851",
"623933",
"624031",
"624097",
"624191",
"624241",
"624259",
"626929",
"626963",
"627353",
"627391",
"627449",
"627511",
"627733",
"627919",
"628013",
"628427",
"628937",
"629371"
] | [
"nonn",
"easy"
] | 94 | 1 | 1 | [
"A007350",
"A007351",
"A007352",
"A007353",
"A007354",
"A038691",
"A038698",
"A051024",
"A066520",
"A096447",
"A096448",
"A096628",
"A156749",
"A199547",
"A297406",
"A297407",
"A297408",
"A297410",
"A297411"
] | [
"M3182"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2023-10-30T00:47:57 | oeisdata/seq/A007/A007350.seq | 5a773f8ba8d03cf7e6c262797dbe59c4 |
A007351 | Where prime race 4m-1 vs. 4m+1 is tied. | [
"2",
"5",
"17",
"41",
"461",
"26833",
"26849",
"26863",
"26881",
"26893",
"26921",
"616769",
"616793",
"616829",
"616843",
"616871",
"617027",
"617257",
"617363",
"617387",
"617411",
"617447",
"617467",
"617473",
"617509",
"617531",
"617579",
"617681",
"617707",
"617719",
"618437",
"618521",
"618593",
"618637"
] | [
"nonn",
"easy"
] | 56 | 1 | 1 | [
"A007350",
"A007351",
"A038691",
"A156749"
] | [
"M1507"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007351.seq | ebdc393012087c6e73dd631094aa3645 |
A007352 | Where the prime race 3k-1 vs. 3k+1 changes leader. | [
"2",
"608981813029",
"608981813507",
"608981813683",
"608981813819",
"608981814127",
"608981814143",
"608981818999",
"608981820977",
"608981826877",
"608981826977",
"608981827873",
"608981828201",
"608981836363",
"608981836493",
"608981836681"
] | [
"nonn"
] | 47 | 1 | 1 | [
"A007350",
"A007352",
"A007353",
"A007354",
"A297406",
"A297407",
"A297408",
"A297410",
"A297411"
] | [
"M2191"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v, Apr 28 1994 | 2023-06-07T08:44:47 | oeisdata/seq/A007/A007352.seq | 1adf911789a5340aead4f37c69f756f0 |
A007353 | Where the prime race among 5k+1, ..., 5k+4 changes leader. | [
"2",
"83",
"137",
"293",
"337",
"443",
"487",
"523",
"557",
"743",
"797",
"1213",
"1277",
"1523",
"1657",
"1733",
"1867",
"1973",
"2027",
"2063",
"2797",
"2833",
"2887",
"4733",
"5227",
"5323",
"5437",
"5503",
"5527",
"5623",
"5897"
] | [
"nonn"
] | 23 | 1 | 1 | [
"A007350",
"A007352",
"A007353",
"A007354",
"A297406",
"A297407",
"A297408",
"A297410",
"A297411"
] | [
"M2177"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2021-07-25T10:48:28 | oeisdata/seq/A007/A007353.seq | 0ba2de16ed0c4a90847990216152b069 |
A007354 | Where the prime race among 7k+1, ..., 7k+6 changes leader. | [
"2",
"17",
"131",
"227",
"733",
"829",
"929",
"997",
"1097",
"1123",
"1237",
"1277",
"1447",
"1487",
"1531",
"1627",
"1811",
"1907",
"1993",
"2141",
"2203",
"2267",
"2441",
"2677",
"2707",
"3209",
"3299",
"3433",
"3547",
"3853",
"4003",
"4021",
"4507",
"4679",
"4787",
"4931",
"5081",
"5113",
"7537",
"7577",
"7649",
"7759",
"7817",
"8039",
"8461",
"8543"
] | [
"nonn"
] | 26 | 1 | 1 | [
"A007350",
"A007352",
"A007353",
"A007354",
"A297406",
"A297407",
"A297408",
"A297410",
"A297411"
] | [
"M2101"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2021-07-26T02:10:08 | oeisdata/seq/A007/A007354.seq | 6e748086fcdfea93e79623413752ce1e |
A007355 | Incorrect duplicate of A297408. | [
"2",
"13",
"19",
"6173",
"6299",
"6353",
"6389",
"16057",
"16369",
"16427",
"16883",
"17167",
"17203",
"17257",
"18169",
"18517",
"18899",
"20353",
"20369",
"20593",
"20639",
"20693",
"20809",
"22037",
"22109",
"22153"
] | [
"dead"
] | 24 | 1 | 1 | null | [
"M2056"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2021-07-25T10:49:11 | oeisdata/seq/A007/A007355.seq | 888136815b2d7d903fe1ca562c63b429 |
A007356 | Apocalyptic powers: 2^a(n) contains 666. | [
"157",
"192",
"218",
"220",
"222",
"224",
"226",
"243",
"245",
"247",
"251",
"278",
"285",
"286",
"287",
"312",
"355",
"361",
"366",
"382",
"384",
"390",
"394",
"411",
"434",
"443",
"478",
"497",
"499",
"506",
"508",
"528",
"529",
"539",
"540",
"541",
"564",
"578",
"580",
"582",
"583",
"610",
"612",
"614",
"620",
"624",
"635",
"646",
"647",
"648",
"649",
"650"
] | [
"base",
"nonn"
] | 32 | 1 | 1 | null | [
"M5405"
] | N. J. A. Sloane, Simon Plouffe | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007356.seq | 1a7bfc186f2cda5c8d839fb999061e2e |
A007357 | Infinitary perfect numbers. | [
"6",
"60",
"90",
"36720",
"12646368",
"22276800",
"126463680",
"4201148160",
"28770487200",
"287704872000",
"1446875426304",
"2548696550400",
"14468754263040",
"590325173932032",
"3291641594841600",
"8854877608980480",
"32916415948416000"
] | [
"nonn"
] | 51 | 1 | 1 | [
"A007357",
"A129656",
"A129657"
] | [
"M4267"
] | N. J. A. Sloane | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007357.seq | 8adac2ab3246771c2a682ce8df02136a |
A007358 | Infinitary multi-perfect numbers. | [
"1",
"6",
"60",
"90",
"120",
"36720",
"73440",
"12646368",
"22276800",
"44553600",
"126463680",
"133660800",
"252927360",
"758782080",
"4201148160",
"8402296320",
"28770487200",
"287704872000",
"575409744000"
] | [
"nonn",
"more"
] | 25 | 1 | 2 | [
"A007357",
"A007358",
"A007691",
"A049417"
] | [
"M4266"
] | N. J. A. Sloane | 2022-01-29T00:55:43 | oeisdata/seq/A007/A007358.seq | a31bca2a345a25be815b3110a8f9fe64 |
A007359 | Number of partitions of n into pairwise coprime parts that are >= 2. | [
"1",
"0",
"1",
"1",
"1",
"2",
"1",
"3",
"2",
"3",
"3",
"5",
"4",
"6",
"5",
"5",
"8",
"9",
"10",
"11",
"11",
"10",
"14",
"18",
"19",
"18",
"20",
"20",
"25",
"30",
"35",
"34",
"32",
"32",
"43",
"43",
"57",
"56",
"51",
"55",
"67",
"78",
"87",
"87",
"80",
"82",
"97",
"125",
"128",
"127",
"128",
"127",
"146",
"182",
"191",
"185",
"184",
"193",
"213",
"263",
"290",
"279",
"258",
"271",
"312",
"354",
"404",
"402"
] | [
"nonn",
"easy"
] | 53 | 0 | 6 | [
"A000837",
"A007359",
"A007360",
"A051424",
"A101268",
"A123131",
"A184956",
"A187718",
"A289508",
"A289509",
"A298748",
"A302569",
"A302696",
"A302698",
"A302797"
] | [
"M0143"
] | N. J. A. Sloane and Mira Bernstein, following a suggestion from Marc LeBrun, Apr 28 1994 | 2020-12-31T18:31:06 | oeisdata/seq/A007/A007359.seq | e0777ce40be9e00aa99f1ac66f961bbf |
A007360 | Number of partitions of n into distinct and pairwise relatively prime parts. | [
"1",
"1",
"2",
"2",
"3",
"3",
"4",
"5",
"5",
"6",
"8",
"9",
"10",
"11",
"10",
"13",
"17",
"19",
"21",
"22",
"21",
"24",
"32",
"37",
"37",
"38",
"40",
"45",
"55",
"65",
"69",
"66",
"64",
"75",
"86",
"100",
"113",
"107",
"106",
"122",
"145",
"165",
"174",
"167",
"162",
"179",
"222",
"253",
"255",
"255",
"255",
"273",
"328",
"373",
"376",
"369",
"377",
"406",
"476",
"553",
"569",
"537",
"529"
] | [
"nonn",
"easy"
] | 33 | 1 | 3 | [
"A000837",
"A007359",
"A007360",
"A038348",
"A051424",
"A078374",
"A084422",
"A186974",
"A187106",
"A302569",
"A303140",
"A303362",
"A304714",
"A320426",
"A320436"
] | [
"M0264"
] | N. J. A. Sloane and Mira Bernstein, following a suggestion from Marc LeBrun. | 2020-12-31T17:23:45 | oeisdata/seq/A007/A007360.seq | 8c4ccf8e6ff9a19906e1a72126296e70 |
A007361 | Numerator of n-th power of Hermite constant for dimension n. | [
"1",
"4",
"2",
"4",
"8",
"64",
"64",
"256"
] | [
"nonn",
"hard",
"nice",
"frac"
] | 25 | 1 | 2 | [
"A007361",
"A007362"
] | [
"M3201"
] | N. J. A. Sloane | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007361.seq | 1dd005bc9bbfe2a767ffe41502059885 |
A007362 | Denominator of n-th power of Hermite constant for dimension n. | [
"1",
"3",
"1",
"1",
"1",
"3",
"1",
"1"
] | [
"nonn",
"hard",
"nice",
"frac"
] | 21 | 1 | 2 | [
"A007361",
"A007362"
] | [
"M2209"
] | N. J. A. Sloane | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007362.seq | ffc3c133120826687863115935d91076 |
A007363 | Maximal self-dual antichains on n points. | [
"0",
"1",
"3",
"5",
"20",
"168",
"11748",
"12160647"
] | [
"nonn",
"more"
] | 31 | 1 | 3 | [
"A000372",
"A001206",
"A007363",
"A305844",
"A305857",
"A306007",
"A326358",
"A326359",
"A326361",
"A326362",
"A326363",
"A326366",
"A326372"
] | [
"M2505"
] | N. J. A. Sloane | 2020-05-26T21:58:16 | oeisdata/seq/A007/A007363.seq | 204862b79a3c6e7576d8500aeb7e117e |
A007364 | Maximal tight voting schemes on n points. | [
"1",
"2",
"3",
"6",
"15",
"85"
] | [
"nonn"
] | 13 | 0 | 2 | null | [
"M0810"
] | N. J. A. Sloane | 2015-03-08T17:37:01 | oeisdata/seq/A007/A007364.seq | 0e20ced9391d358e0b8e9a1b71ae064c |
A007365 | Smallest k such that sigma(n+k) = sigma(k). | [
"1",
"14",
"33",
"382",
"51",
"6",
"20",
"10",
"15",
"14",
"21",
"28",
"35",
"182",
"24",
"26",
"30",
"142",
"40",
"34",
"42",
"20",
"57",
"135",
"70",
"30",
"99",
"42",
"66",
"406",
"88",
"56",
"60",
"54",
"93",
"24",
"105",
"248",
"147",
"44",
"63",
"30",
"80",
"435",
"114",
"52",
"196",
"310",
"140",
"40",
"105",
"92",
"160",
"66",
"120",
"140",
"105",
"88",
"352",
"154"
] | [
"nonn"
] | 35 | 0 | 2 | [
"A000203",
"A007365",
"A065932",
"A065933"
] | [
"M4928"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2023-10-29T21:27:30 | oeisdata/seq/A007/A007365.seq | a56520b636e8f3e1a8c9add4fe9464d3 |
A007366 | Numbers k such that phi(x) = k has exactly 2 solutions. | [
"1",
"10",
"22",
"28",
"30",
"46",
"52",
"54",
"58",
"66",
"70",
"78",
"82",
"102",
"106",
"110",
"126",
"130",
"136",
"138",
"148",
"150",
"166",
"172",
"178",
"190",
"196",
"198",
"210",
"222",
"226",
"228",
"238",
"250",
"262",
"268",
"270",
"282",
"292",
"294",
"306",
"310",
"316",
"330",
"342",
"346",
"358",
"366",
"372",
"378",
"382",
"388",
"418",
"430",
"438"
] | [
"nonn"
] | 114 | 1 | 2 | [
"A000010",
"A001221",
"A007366",
"A007367",
"A007617",
"A023900",
"A060667",
"A060668",
"A060669",
"A060670",
"A060671",
"A060672",
"A060673",
"A060674",
"A060675",
"A271983"
] | [
"M4685"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-17T07:18:17 | oeisdata/seq/A007/A007366.seq | 7a8ad1bdd9b0b3c658c0fc5b10dd4987 |
A007367 | Numbers k such that phi(x) = k has exactly 3 solutions. | [
"2",
"44",
"56",
"92",
"104",
"116",
"140",
"164",
"204",
"212",
"260",
"296",
"332",
"344",
"356",
"380",
"392",
"444",
"452",
"476",
"524",
"536",
"564",
"584",
"588",
"620",
"632",
"684",
"692",
"716",
"744",
"764",
"776",
"836",
"860",
"884",
"932",
"956",
"980",
"1004",
"1016",
"1112",
"1124",
"1136",
"1172",
"1196",
"1284",
"1292",
"1304"
] | [
"nonn"
] | 78 | 1 | 1 | [
"A000010",
"A002202",
"A007366",
"A007367",
"A007617",
"A058277",
"A060667",
"A060668",
"A060669",
"A060670",
"A060671",
"A060672",
"A060673",
"A060674",
"A060675",
"A085713"
] | [
"M2163"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-17T07:18:28 | oeisdata/seq/A007/A007367.seq | 006196186a32bc7df43fb6cc5624a79d |
A007368 | Smallest k such that sigma(x) = k has exactly n solutions. | [
"2",
"1",
"12",
"24",
"96",
"72",
"168",
"240",
"336",
"360",
"504",
"576",
"1512",
"1080",
"1008",
"720",
"2304",
"3600",
"5376",
"2520",
"2160",
"1440",
"10416",
"13392",
"3360",
"4032",
"3024",
"7056",
"6720",
"2880",
"6480",
"10800",
"13104",
"5040",
"6048",
"4320",
"13440",
"5760",
"18720",
"20736",
"19152",
"22680",
"43680"
] | [
"nonn"
] | 46 | 0 | 1 | [
"A000203",
"A002191",
"A007368",
"A007369",
"A007370",
"A007371",
"A007372",
"A007609",
"A054973",
"A115374",
"A184393",
"A184394",
"A201915"
] | [
"M4829"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2019-10-21T12:10:14 | oeisdata/seq/A007/A007368.seq | 4a768e6173e90887f5dc51b871719b93 |
A007369 | Numbers n such that sigma(x) = n has no solution. | [
"2",
"5",
"9",
"10",
"11",
"16",
"17",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"29",
"33",
"34",
"35",
"37",
"41",
"43",
"45",
"46",
"47",
"49",
"50",
"51",
"52",
"53",
"55",
"58",
"59",
"61",
"64",
"65",
"66",
"67",
"69",
"70",
"71",
"73",
"75",
"76",
"77",
"79",
"81",
"82",
"83",
"85",
"86",
"87",
"88",
"89",
"92",
"94",
"95",
"97",
"99",
"100",
"101",
"103",
"105",
"106",
"107",
"109",
"111",
"113"
] | [
"nonn"
] | 72 | 1 | 1 | [
"A002191",
"A007369",
"A048995",
"A083532"
] | [
"M1355"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-08T08:47:53 | oeisdata/seq/A007/A007369.seq | 7edf2c07f773718991304b411667a64d |
A007370 | Numbers k such that sigma(x) = k has a unique solution. | [
"1",
"3",
"4",
"6",
"7",
"8",
"13",
"14",
"15",
"20",
"28",
"30",
"36",
"38",
"39",
"40",
"44",
"57",
"62",
"63",
"68",
"74",
"78",
"91",
"93",
"102",
"110",
"112",
"121",
"127",
"133",
"138",
"150",
"158",
"160",
"162",
"164",
"171",
"174",
"176",
"183",
"194",
"195",
"198",
"200",
"204",
"212",
"217",
"222",
"230",
"242",
"255",
"256",
"258",
"260",
"266",
"278",
"282"
] | [
"nonn"
] | 46 | 1 | 2 | [
"A000203",
"A007369",
"A007370",
"A007371",
"A007372",
"A060660",
"A060661",
"A060662",
"A060663",
"A060664",
"A060665",
"A060666",
"A060676",
"A060678"
] | [
"M2319"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-18T03:44:46 | oeisdata/seq/A007/A007370.seq | 370c94ea4169aa874a6a027c090b4c91 |
A007371 | Numbers k such that sigma(x) = k has exactly 2 solutions. | [
"12",
"18",
"31",
"32",
"54",
"56",
"80",
"98",
"104",
"108",
"114",
"124",
"126",
"128",
"132",
"140",
"152",
"156",
"182",
"186",
"210",
"264",
"272",
"280",
"308",
"320",
"342",
"378",
"390",
"392",
"399",
"403",
"408",
"416",
"440",
"444",
"448",
"492",
"522",
"532",
"570",
"572",
"594",
"608",
"630",
"632",
"726",
"762",
"770",
"774",
"780",
"784",
"800"
] | [
"nonn"
] | 34 | 1 | 1 | [
"A000203",
"A007369",
"A007370",
"A007371",
"A007372",
"A060660",
"A060661",
"A060662",
"A060663",
"A060664",
"A060665",
"A060666",
"A060676",
"A060678"
] | [
"M4827"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-18T05:24:40 | oeisdata/seq/A007/A007371.seq | 4e048ff914c0788b635c762833c32dba |
A007372 | Numbers k such that sigma(x) = k has exactly 3 solutions. | [
"24",
"42",
"48",
"60",
"84",
"90",
"224",
"228",
"234",
"248",
"270",
"294",
"324",
"450",
"468",
"528",
"558",
"620",
"640",
"660",
"810",
"882",
"888",
"896",
"968",
"972",
"1020",
"1050",
"1104",
"1116",
"1140",
"1216",
"1232",
"1240",
"1274",
"1332",
"1392",
"1400",
"1452",
"1456",
"1464",
"1482",
"1524",
"1530",
"1600",
"1694",
"1716",
"1760"
] | [
"nonn"
] | 36 | 1 | 1 | [
"A000203",
"A007369",
"A007370",
"A007371",
"A007372",
"A060660",
"A060661",
"A060662",
"A060663",
"A060664",
"A060665",
"A060666",
"A060676",
"A060678"
] | [
"M5142"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-11-18T04:35:43 | oeisdata/seq/A007/A007372.seq | f5cbb039510c95a44744e24637783284 |
A007373 | Numbers k such that sigma(k+2) = sigma(k). | [
"33",
"54",
"284",
"366",
"834",
"848",
"918",
"1240",
"1504",
"2910",
"2913",
"3304",
"4148",
"4187",
"6110",
"6902",
"7169",
"7912",
"9359",
"10250",
"10540",
"12565",
"15085",
"17272",
"17814",
"19004",
"19688",
"21410",
"21461",
"24881",
"25019",
"26609",
"28124",
"30592",
"30788",
"31484",
"38210",
"38982",
"39786",
"40310",
"45354"
] | [
"nonn"
] | 56 | 1 | 1 | [
"A002961",
"A007373",
"A015861",
"A015863",
"A015865",
"A015866",
"A015867",
"A015876",
"A015877",
"A015880",
"A015881",
"A015882",
"A015883",
"A055574",
"A181647"
] | [
"M5234"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2024-02-13T06:54:50 | oeisdata/seq/A007/A007373.seq | d59f5e45d2759094147b78132fccbbfe |
A007374 | Smallest k such that phi(x) = k has exactly n solutions, n>=2. | [
"1",
"2",
"4",
"8",
"12",
"32",
"36",
"40",
"24",
"48",
"160",
"396",
"2268",
"704",
"312",
"72",
"336",
"216",
"936",
"144",
"624",
"1056",
"1760",
"360",
"2560",
"384",
"288",
"1320",
"3696",
"240",
"768",
"9000",
"432",
"7128",
"4200",
"480",
"576",
"1296",
"1200",
"15936",
"3312",
"3072",
"3240",
"864",
"3120",
"7344",
"3888",
"720",
"1680",
"4992"
] | [
"nonn",
"easy",
"nice"
] | 55 | 2 | 2 | [
"A000010",
"A007374",
"A014573",
"A097942",
"A105207",
"A105208"
] | [
"M1093"
] | N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007374.seq | b41be9d3e2a8e41ae0a6f178a966b246 |
A007375 | Number of translation planes of order q, q = prime power. | [
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"8",
"1",
"1",
"1",
"21",
"7",
"1",
"1"
] | [
"nonn",
"hard",
"nice"
] | 18 | 1 | 7 | null | [
"M0083"
] | N. J. A. Sloane | 2021-12-17T11:20:02 | oeisdata/seq/A007/A007375.seq | 25b3e09bd40e65b990695c245239b773 |
A007376 | The almost-natural numbers: write n in base 10 and juxtapose digits. | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"1",
"0",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"5",
"1",
"6",
"1",
"7",
"1",
"8",
"1",
"9",
"2",
"0",
"2",
"1",
"2",
"2",
"2",
"3",
"2",
"4",
"2",
"5",
"2",
"6",
"2",
"7",
"2",
"8",
"2",
"9",
"3",
"0",
"3",
"1",
"3",
"2",
"3",
"3",
"3",
"4",
"3",
"5",
"3",
"6",
"3",
"7",
"3",
"8",
"3",
"9",
"4",
"0",
"4",
"1",
"4",
"2",
"4",
"3",
"4",
"4",
"4",
"5",
"4",
"6",
"4",
"7",
"4",
"8",
"4",
"9",
"5",
"0",
"5",
"1",
"5",
"2",
"5",
"3",
"5",
"4",
"5",
"5",
"5",
"6",
"5",
"7"
] | [
"base",
"easy",
"nice",
"nonn",
"tabf"
] | 113 | 0 | 3 | [
"A001477",
"A003137",
"A007376",
"A007908",
"A023103",
"A030190",
"A030302",
"A030373",
"A030548",
"A030998",
"A031035",
"A031076",
"A031219",
"A031287",
"A031288",
"A031289",
"A031290",
"A031291",
"A031292",
"A031293",
"A031294",
"A031295",
"A031296",
"A033307",
"A033308",
"A054632",
"A054634",
"A054635",
"A055642",
"A058183",
"A071620",
"A100470",
"A117804",
"A127050",
"A127353",
"A127414",
"A127508",
"A127584",
"A127734",
"A127794",
"A127950",
"A128178",
"A128211",
"A128359",
"A128423",
"A128475",
"A128881",
"A136414",
"A162711",
"A193428",
"A256100"
] | [
"M0469"
] | N. J. A. Sloane, Robert G. Wilson v | 2024-08-22T06:13:00 | oeisdata/seq/A007/A007376.seq | 587f304d2b6ad45e5c5f88e979a7a288 |
A007377 | Numbers k such that the decimal expansion of 2^k contains no 0. | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"13",
"14",
"15",
"16",
"18",
"19",
"24",
"25",
"27",
"28",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"39",
"49",
"51",
"67",
"72",
"76",
"77",
"81",
"86"
] | [
"base",
"nonn"
] | 73 | 1 | 3 | [
"A007377",
"A027870",
"A030700",
"A031142",
"A034293",
"A035064",
"A102483"
] | [
"M0485"
] | N. J. A. Sloane, Robert G. Wilson v | 2025-02-16T08:32:31 | oeisdata/seq/A007/A007377.seq | 7398dec9165003bea71aee799b850608 |
A007378 | a(n), for n >= 2, is smallest positive integer which is consistent with sequence being monotonically increasing and satisfying a(a(n)) = 2n. | [
"3",
"4",
"6",
"7",
"8",
"10",
"12",
"13",
"14",
"15",
"16",
"18",
"20",
"22",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"34",
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"38",
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"42",
"44",
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"48",
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"50",
"51",
"52",
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"54",
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"56",
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"61",
"62",
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"64",
"66",
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"70",
"72",
"74",
"76",
"78",
"80",
"82",
"84",
"86",
"88",
"90",
"92",
"94",
"96",
"97",
"98",
"99",
"100",
"101",
"102",
"103"
] | [
"nonn",
"easy",
"nice"
] | 64 | 2 | 1 | [
"A003605",
"A007378",
"A042965",
"A079905",
"A080637",
"A080653",
"A088720"
] | [
"M2317"
] | Colin Mallows | 2024-01-08T09:02:57 | oeisdata/seq/A007/A007378.seq | fb9839941020042dc30df7f10526e838 |
A007379 | Earliest sequence with a(a(n)) = 4n. | [
"0",
"2",
"4",
"5",
"8",
"12",
"7",
"24",
"16",
"10",
"36",
"13",
"20",
"44",
"15",
"56",
"32",
"18",
"68",
"21",
"48",
"76",
"23",
"88",
"28",
"26",
"100",
"29",
"96",
"108",
"31",
"120",
"64",
"34",
"132",
"37",
"40",
"140",
"39",
"152",
"144",
"42",
"164",
"45",
"52",
"172",
"47",
"184",
"80",
"50",
"196",
"53",
"176",
"204",
"55",
"216",
"60",
"58",
"228",
"61",
"224",
"236",
"63",
"248"
] | [
"nonn",
"nice"
] | 20 | 0 | 2 | [
"A002516",
"A002517",
"A007379"
] | [
"M0973"
] | Colin Mallows, N. J. A. Sloane, Mira Bernstein | 2016-08-28T18:23:35 | oeisdata/seq/A007/A007379.seq | 2be8f413dd2c759151b4effbe40bd4c4 |
A007380 | Number of 5th-order maximal independent sets in path graph. | [
"1",
"2",
"1",
"3",
"1",
"4",
"2",
"5",
"4",
"6",
"7",
"7",
"11",
"9",
"16",
"13",
"22",
"20",
"29",
"31",
"38",
"47",
"51",
"69",
"71",
"98",
"102",
"136",
"149",
"187",
"218",
"258",
"316",
"360",
"452",
"509",
"639",
"727",
"897",
"1043",
"1257",
"1495",
"1766",
"2134",
"2493",
"3031",
"3536",
"4288",
"5031",
"6054",
"7165",
"8547",
"10196"
] | [
"nonn"
] | 22 | 1 | 2 | null | [
"M0132"
] | N. J. A. Sloane, Mira Bernstein | 2021-02-02T21:59:49 | oeisdata/seq/A007/A007380.seq | 297b314bdcad5719dc0ab1d2c9e0702e |
A007381 | 7th-order maximal independent sets in path graph. | [
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"5",
"2",
"6",
"4",
"7",
"7",
"8",
"11",
"9",
"16",
"11",
"22",
"15",
"29",
"22",
"37",
"33",
"46",
"49",
"57",
"71",
"72",
"100",
"94",
"137",
"127",
"183",
"176",
"240",
"247",
"312",
"347",
"406",
"484",
"533",
"667",
"709",
"907",
"956",
"1219",
"1303",
"1625",
"1787",
"2158",
"2454",
"2867",
"3361",
"3823",
"4580"
] | [
"nonn"
] | 29 | 1 | 2 | null | [
"M0130"
] | N. J. A. Sloane, Mira Bernstein | 2021-01-31T20:44:12 | oeisdata/seq/A007/A007381.seq | aee6f3d8d3ae17a2c1860205c9d2aab7 |
A007382 | Number of strict (-1)st-order maximal independent sets in path graph. | [
"0",
"0",
"3",
"4",
"11",
"16",
"32",
"49",
"87",
"137",
"231",
"369",
"608",
"978",
"1595",
"2574",
"4179",
"6754",
"10944",
"17699",
"28655",
"46355",
"75023",
"121379",
"196416",
"317796",
"514227",
"832024",
"1346267"
] | [
"nonn",
"easy"
] | 24 | 1 | 3 | [
"A007382",
"A054451"
] | [
"M2365"
] | N. J. A. Sloane, Mira Bernstein | 2017-11-17T00:58:45 | oeisdata/seq/A007/A007382.seq | 037f236e3ad1418ae5c32beb9960f55b |
A007383 | Number of strict first-order maximal independent sets in path graph. | [
"0",
"0",
"1",
"0",
"3",
"1",
"6",
"4",
"11",
"10",
"20",
"21",
"36",
"41",
"64",
"77",
"113",
"141",
"199",
"254",
"350",
"453",
"615",
"803",
"1080",
"1418",
"1896",
"2498",
"3328",
"4394",
"5841",
"7722",
"10251",
"13563",
"17990",
"23814",
"31571",
"41804",
"55404",
"73375",
"97228",
"128779",
"170624",
"226007",
"299425"
] | [
"nonn"
] | 23 | 1 | 5 | [
"A000931",
"A007383"
] | [
"M2228"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T17:09:11 | oeisdata/seq/A007/A007383.seq | 7ff192b7a5d1fc2a600f1ab08978af88 |
A007384 | Number of strict 3rd-order maximal independent sets in path graph. | [
"0",
"0",
"0",
"0",
"1",
"0",
"3",
"0",
"6",
"1",
"10",
"4",
"15",
"10",
"22",
"20",
"33",
"35",
"51",
"57",
"80",
"90",
"125",
"141",
"193",
"221",
"295",
"346",
"449",
"539",
"684",
"834",
"1045",
"1283",
"1600",
"1967",
"2451",
"3012",
"3752",
"4612",
"5738",
"7063",
"8770",
"10815",
"13403",
"16553",
"20488",
"25323",
"31326",
"38726"
] | [
"nonn"
] | 17 | 1 | 7 | [
"A001687",
"A007384"
] | [
"M2201"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T17:08:42 | oeisdata/seq/A007/A007384.seq | 08785e3e56478f41bd3320589d0baa52 |
A007385 | Number of strict 5th-order maximal independent sets in path graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"3",
"0",
"6",
"0",
"10",
"1",
"15",
"4",
"21",
"10",
"28",
"20",
"37",
"35",
"50",
"56",
"70",
"84",
"101",
"121",
"148",
"171",
"217",
"241",
"315",
"342",
"451",
"490",
"638",
"707",
"896",
"1022",
"1256",
"1473",
"1765",
"2111",
"2492",
"3007",
"3535",
"4263",
"5030",
"6028",
"7164",
"8520",
"10195"
] | [
"nonn"
] | 20 | 1 | 9 | [
"A007380",
"A007385"
] | [
"M2200"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T19:29:26 | oeisdata/seq/A007/A007385.seq | 2ce977a4a97965c752efb378fb62e456 |
A007386 | Number of strict 7th-order maximal independent sets in path graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"3",
"0",
"6",
"0",
"10",
"0",
"15",
"1",
"21",
"4",
"28",
"10",
"36",
"20",
"45",
"35",
"56",
"56",
"71",
"84",
"93",
"120",
"126",
"165",
"175",
"221",
"246",
"292",
"346",
"385",
"483",
"511",
"666",
"686",
"906",
"932",
"1218",
"1278",
"1624",
"1761",
"2157",
"2427",
"2866",
"3333",
"3822",
"4551"
] | [
"nonn"
] | 25 | 1 | 11 | [
"A007381",
"A007386"
] | [
"M2199"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-04T04:24:30 | oeisdata/seq/A007/A007386.seq | dddae093cfe5d2ee60b5ab522bd3fecb |
A007387 | Number of 3rd-order maximal independent sets in cycle graph. | [
"0",
"2",
"3",
"2",
"5",
"2",
"7",
"2",
"9",
"7",
"11",
"14",
"13",
"23",
"20",
"34",
"34",
"47",
"57",
"67",
"91",
"101",
"138",
"158",
"205",
"249",
"306",
"387",
"464",
"592",
"713",
"898",
"1100",
"1362",
"1692",
"2075",
"2590",
"3175",
"3952",
"4867",
"6027",
"7457",
"9202",
"11409",
"14069",
"17436",
"21526",
"26638",
"32935",
"40707",
"50371",
"62233"
] | [
"nonn"
] | 39 | 1 | 2 | [
"A001608",
"A007387",
"A007388",
"A007389"
] | [
"M0426"
] | N. J. A. Sloane, Mira Bernstein | 2022-09-08T08:44:35 | oeisdata/seq/A007/A007387.seq | 3bba702f6c5b294cc009237264612598 |
A007388 | 5th-order maximal independent sets in cycle graph. | [
"0",
"2",
"3",
"2",
"5",
"2",
"7",
"2",
"9",
"2",
"11",
"2",
"13",
"9",
"15",
"18",
"17",
"29",
"19",
"42",
"28",
"57",
"46",
"74",
"75",
"93",
"117",
"121",
"174",
"167",
"248",
"242",
"341",
"359",
"462",
"533",
"629",
"781",
"871",
"1122",
"1230",
"1584",
"1763",
"2213",
"2544",
"3084",
"3666",
"4314",
"5250",
"6077",
"7463",
"8621",
"10547"
] | [
"nonn"
] | 35 | 1 | 2 | [
"A001608",
"A007387",
"A007388",
"A007389"
] | [
"M0425"
] | N. J. A. Sloane, Mira Bernstein | 2021-02-02T20:42:53 | oeisdata/seq/A007/A007388.seq | dead52daf93e91cdbc4031625caf1f03 |
A007389 | 7th-order maximal independent sets in cycle graph. | [
"0",
"2",
"3",
"2",
"5",
"2",
"7",
"2",
"9",
"2",
"11",
"2",
"13",
"2",
"15",
"2",
"17",
"11",
"19",
"22",
"21",
"35",
"23",
"50",
"25",
"67",
"36",
"86",
"58",
"107",
"93",
"130",
"143",
"155",
"210",
"191",
"296",
"249",
"403",
"342",
"533",
"485",
"688",
"695",
"879",
"991",
"1128",
"1394",
"1470",
"1927",
"1955",
"2615",
"2650",
"3494",
"3641",
"4622",
"5035",
"6092",
"6962",
"8047"
] | [
"nonn"
] | 42 | 1 | 2 | [
"A001608",
"A007387",
"A007388",
"A007389"
] | [
"M0424"
] | N. J. A. Sloane, Mira Bernstein | 2019-11-22T13:17:43 | oeisdata/seq/A007/A007389.seq | 31b4d62690a5e51e7c5eb445d39ea613 |
A007390 | Number of strict (-1)st-order maximal independent sets in cycle graph. | [
"0",
"0",
"0",
"4",
"5",
"15",
"21",
"44",
"66",
"120",
"187",
"319",
"507",
"840",
"1348",
"2204",
"3553",
"5775",
"9329",
"15124",
"24454",
"39600",
"64055",
"103679",
"167735",
"271440",
"439176",
"710644",
"1149821",
"1860495",
"3010317",
"4870844",
"7881162",
"12752040",
"20633203",
"33385279",
"54018483"
] | [
"nonn"
] | 22 | 1 | 4 | null | [
"M3257"
] | N. J. A. Sloane, Mira Bernstein | 2019-06-14T21:48:55 | oeisdata/seq/A007/A007390.seq | a1dd9de8026d9faba36dbbb451e253fa |
A007391 | Number of strict first-order maximal independent sets in cycle graph. | [
"0",
"0",
"0",
"0",
"0",
"3",
"0",
"8",
"3",
"15",
"11",
"27",
"26",
"49",
"53",
"88",
"102",
"156",
"190",
"275",
"346",
"484",
"621",
"851",
"1105",
"1495",
"1956",
"2625",
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"4608",
"6076",
"8088",
"10684",
"14195",
"18772",
"24912",
"32967",
"43719",
"57879",
"76723",
"101598",
"134641",
"178321",
"236280",
"312962",
"414644"
] | [
"nonn"
] | 25 | 1 | 6 | [
"A001608",
"A007391"
] | [
"M2205"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T19:28:02 | oeisdata/seq/A007/A007391.seq | d8d32b4678956d8b6e843c2d2458158c |
A007392 | Number of strict 3rd-order maximal independent sets in cycle graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"5",
"0",
"12",
"0",
"21",
"5",
"32",
"17",
"45",
"38",
"65",
"70",
"99",
"115",
"156",
"180",
"247",
"279",
"385",
"435",
"590",
"682",
"896",
"1067",
"1360",
"1657",
"2073",
"2553",
"3173",
"3913",
"4865",
"5986",
"7455",
"9159",
"11407",
"14024",
"17434",
"21479",
"26636",
"32886",
"40705",
"50320"
] | [
"nonn"
] | 25 | 1 | 10 | [
"A007387",
"A007392"
] | [
"M3727"
] | N. J. A. Sloane, Mira Bernstein | 2018-04-29T19:06:08 | oeisdata/seq/A007/A007392.seq | 0a5fed2ccc0bad339249148cef3b3788 |
A007393 | Number of strict 5th-order maximal independent sets in cycle graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"7",
"0",
"16",
"0",
"27",
"0",
"40",
"7",
"55",
"23",
"72",
"50",
"91",
"90",
"119",
"145",
"165",
"217",
"240",
"308",
"357",
"427",
"531",
"592",
"779",
"832",
"1120",
"1189",
"1582",
"1720",
"2211",
"2499",
"3082",
"3619",
"4312",
"5201",
"6075",
"7412",
"8619",
"10494",
"12285"
] | [
"nonn"
] | 18 | 1 | 14 | [
"A007388",
"A007393"
] | [
"M4320"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T19:43:27 | oeisdata/seq/A007/A007393.seq | 3694148f7f83b2d3591d7a66bc60d1a7 |
A007394 | Number of strict 7th-order maximal independent sets in cycle graph. | [
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"9",
"0",
"20",
"0",
"33",
"0",
"48",
"0",
"65",
"9",
"84",
"29",
"105",
"62",
"128",
"110",
"153",
"175",
"189",
"259",
"247",
"364",
"340",
"492",
"483",
"645",
"693",
"834",
"989",
"1081",
"1392",
"1421",
"1925",
"1904",
"2613",
"2597",
"3492",
"3586",
"4620",
"4978",
"6090"
] | [
"nonn"
] | 23 | 1 | 18 | [
"A007389",
"A007394"
] | [
"M4590"
] | N. J. A. Sloane, Mira Bernstein | 2018-01-02T19:27:32 | oeisdata/seq/A007/A007394.seq | 703e398975907ac8525caf0d6fea950d |
A007395 | Constant sequence: the all 2's sequence. | [
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
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"2",
"2",
"2",
"2",
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"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"2"
] | [
"nonn",
"easy"
] | 170 | 1 | 1 | [
"A000004",
"A000012",
"A002061",
"A007395",
"A010701",
"A089105",
"A165900",
"A213999",
"A254858"
] | [
"M0208"
] | N. J. A. Sloane | 2025-02-28T09:39:47 | oeisdata/seq/A007/A007395.seq | 47dec3a6c8906cbfe38f1d293f4aa70b |
A007396 | Add 2, then reverse digits!. | [
"0",
"2",
"4",
"6",
"8",
"1",
"3",
"5",
"7",
"9",
"11",
"31",
"33",
"53",
"55",
"75",
"77",
"97",
"99",
"101",
"301",
"303",
"503",
"505",
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"119",
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"321",
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"159",
"161",
"361",
"363",
"563",
"565",
"765",
"767",
"967",
"969",
"179"
] | [
"nonn",
"base",
"easy"
] | 32 | 0 | 2 | [
"A007396",
"A117521"
] | [
"M0983"
] | N. J. A. Sloane. | 2024-12-01T18:44:37 | oeisdata/seq/A007/A007396.seq | 687f738ff9ab9e096925eee371955669 |
A007397 | Add 5, then reverse digits!. | [
"0",
"5",
"1",
"6",
"11",
"61",
"66",
"17",
"22",
"72",
"77",
"28",
"33",
"83",
"88",
"39",
"44",
"94",
"99",
"401",
"604",
"906",
"119",
"421",
"624",
"926",
"139",
"441",
"644",
"946",
"159",
"461",
"664",
"966",
"179",
"481",
"684",
"986",
"199",
"402",
"704"
] | [
"nonn",
"base"
] | 8 | 0 | 2 | null | [
"M3729"
] | N. J. A. Sloane. | 2012-03-30T16:45:10 | oeisdata/seq/A007/A007397.seq | 9b0a04ce7ff5b64f6a314a50b005609e |
A007398 | Add 7, then reverse digits. | [
"0",
"7",
"41",
"84",
"19",
"62",
"96",
"301",
"803",
"18",
"52",
"95",
"201",
"802",
"908",
"519",
"625",
"236",
"342",
"943",
"59",
"66",
"37",
"44",
"15",
"22",
"92",
"99",
"601",
"806",
"318",
"523",
"35",
"24",
"13",
"2",
"9",
"61",
"86",
"39",
"64",
"17",
"42",
"94",
"101",
"801",
"808",
"518",
"525",
"235",
"242",
"942",
"949",
"659",
"666",
"376",
"383",
"93",
"1",
"8",
"51",
"85",
"29",
"63"
] | [
"nonn",
"base",
"easy"
] | 22 | 0 | 2 | [
"A007398",
"A117828"
] | [
"M4422"
] | N. J. A. Sloane | 2018-08-01T02:48:13 | oeisdata/seq/A007/A007398.seq | b28e2439160076543624deb80d7a9ac9 |
A007399 | Add 8, then reverse digits!. | [
"0",
"8",
"61",
"96",
"401",
"904",
"219",
"722",
"37",
"54",
"26",
"43",
"15",
"32",
"4",
"21",
"92",
"1",
"9",
"71",
"97",
"501",
"905",
"319",
"723",
"137",
"541",
"945",
"359",
"763",
"177",
"581",
"985",
"399",
"704",
"217",
"522",
"35",
"34",
"24",
"23",
"13",
"12",
"2",
"1",
"9",
"71"
] | [
"nonn",
"base"
] | 8 | 0 | 2 | null | [
"M4552"
] | N. J. A. Sloane. | 2012-03-30T16:45:10 | oeisdata/seq/A007/A007399.seq | d9c7e38d2eca3a71cde73cc8fb157878 |
A007400 | Continued fraction for Sum_{n>=0} 1/2^(2^n) = 0.8164215090218931... | [
"0",
"1",
"4",
"2",
"4",
"4",
"6",
"4",
"2",
"4",
"6",
"2",
"4",
"6",
"4",
"4",
"2",
"4",
"6",
"2",
"4",
"4",
"6",
"4",
"2",
"6",
"4",
"2",
"4",
"6",
"4",
"4",
"2",
"4",
"6",
"2",
"4",
"4",
"6",
"4",
"2",
"4",
"6",
"2",
"4",
"6",
"4",
"4",
"2",
"6",
"4",
"2",
"4",
"4",
"6",
"4",
"2",
"6",
"4",
"2",
"4",
"6",
"4",
"4",
"2",
"4",
"6",
"2",
"4",
"4",
"6",
"4",
"2",
"4",
"6",
"2",
"4",
"6",
"4",
"4",
"2",
"4",
"6",
"2",
"4",
"4",
"6",
"4",
"2",
"6",
"4",
"2",
"4",
"6",
"4",
"4",
"2",
"6",
"4"
] | [
"nonn",
"cofr",
"easy"
] | 92 | 0 | 3 | [
"A007400",
"A007404",
"A073088",
"A073414",
"A073415",
"A088431",
"A089267",
"A092910"
] | null | Simon Plouffe, Jeffrey Shallit | 2022-08-31T09:08:19 | oeisdata/seq/A007/A007400.seq | cc958ffa1f3ce23af26c0bbb77ed427d |
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