cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A295452 a(n) = (10*n)!*(6*n)!*n!/((7*n)!*(5*n)!*(3*n)!*(2*n)!).

Original entry on oeis.org

1, 360, 426360, 583731720, 848084358264, 1272844124730360, 1949962324582133400, 3029870085304407766200, 4756833647064253405342840, 7527387071973766687474317120, 11986073514194153892621775416360, 19182204664545386655937834503826320, 30826701085749480283253960554248940440
Offset: 0

Views

Author

Gheorghe Coserea, Nov 27 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/10, 1/6, 3/10, 1/2, 7/10, 5/6, 9/10], [1/7, 2/7, 3/7, 4/7, 5/7, 6/7], 1382400000/823543*x).

A295453 a(n) = (15*n)!*n!/((9*n)!*(5*n)!*(2*n)!).

Original entry on oeis.org

1, 15015, 951425475, 70008087393552, 5472752419793774115, 442152818018970753425640, 36471466447057357977530250960, 3051670756860336385013412647728800, 258020271506436677733823067896257122595, 21990039069051148065537923218288162358113800
Offset: 0

Views

Author

Gheorghe Coserea, Nov 27 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/9, 2/9, 4/9, 1/2, 5/9, 7/9, 8/9], 9765625/108*x).

A295454 a(n) = (30*n)!*(9*n)!*(5*n)!/((18*n)!*(15*n)!*(10*n)!*n!).

Original entry on oeis.org

1, 380190, 402651263238, 481367742667183020, 606773455031055915223110, 788038286971309455244327103940, 1043296916338880227942329375359295900, 1399861754063759689631089578666777998208024, 1896931228304326042693101941956800377403844620870
Offset: 0

Views

Author

Gheorghe Coserea, Nov 27 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/30, 7/30, 11/30, 13/30, 17/30, 19/30, 23/30, 29/30], [1/18, 5/18, 7/18, 1/2, 11/18, 13/18, 17/18], 39062500/27*x).

A295455 a(n) = (15*n)!*(4*n)!/((12*n)!*(5*n)!*(2*n)!).

Original entry on oeis.org

1, 273, 197925, 163599348, 142968550725, 128870282292648, 118480953427211364, 110433519432700272900, 103975323964183657238085, 98653477096436613397662000, 94177063016288953736433769800, 90349590539197254060291386954952, 87032952761243666079438661028681700
Offset: 0

Views

Author

Gheorghe Coserea, Nov 27 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], 263671875/262144*x).

A295457 a(n) = (15*n)!*(4*n)!/((8*n)!*(6*n)!*(5*n)!).

Original entry on oeis.org

1, 9009, 294076965, 11030686038900, 438321132020096325, 17979827428611358281384, 752553618012140145142587492, 31940836366106723747518143741060, 1369603448067362789909481679723040325, 59188587562897050669538613520932321886000, 2573718443318168289438405066554782451258688840
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/8, 1/6, 3/8, 1/2, 5/8, 5/6, 7/8], 192216796875/4194304*x).

A295460 a(n) = (30*n)!*(3*n)!*(2*n)!/((15*n)!*(10*n)!*(6*n)!*(4*n)!).

Original entry on oeis.org

1, 38818159380, 11536562100925275834420, 3989159479106945583885404912116080, 1465906104045866242659659916354251554712039220, 556781461408491354853035878570347481762539032055736771880, 215922525116262430363343223480137348951795607610774441624359247484400
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/30, 7/30, 11/30, 13/30, 17/30, 19/30, 23/30, 29/30], [1/5, 1/4, 2/5, 1/2, 3/5, 3/4, 4/5], 425152800000*x).

A295462 a(n) = (15*n)!*(2*n)!/((10*n)!*(6*n)!*n!).

Original entry on oeis.org

1, 1001, 2731365, 8452632980, 27614258931525, 92994778322102376, 319323042934810327908, 1111423634892509277158820, 3907116913932203786698907205, 13840531451943824412017357524400, 49326067264186310295180241747943240, 176657291645522807951014259080005974280
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/10, 1/6, 3/10, 1/2, 7/10, 5/6, 9/10], 61509375/16384*x).

A295463 a(n) = (15*n)!*(7*n)!/((14*n)!*(5*n)!*(3*n)!).

Original entry on oeis.org

1, 105, 29029, 9166740, 3061860165, 1055101029480, 370876177263460, 132173658552875940, 47583151292491193925, 17263325497497942304176, 6301638858548635346648904, 2311724488328238270596515080, 851528189436978072303333019620, 314744785754005167603848040595140
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/15, 2/15, 4/15, 7/15, 8/15, 11/15, 13/15, 14/15], [1/14, 3/14, 5/14, 1/2, 9/14, 11/14, 13/14], 5189853515625/13492928512*x).

A295464 a(n) = (30*n)!*(5*n)!*(3*n)!/((15*n)!*(10*n)!*(7*n)!*(6*n)!).

Original entry on oeis.org

1, 11090902680, 806752594470299009400, 67926864195319506846345904076280, 6070004571618493758425092821342656541250680, 560350006184720363483642231730314219687919996242332680, 52801774275140194976895125566622993449415218651496078394967387800
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Formula

G.f.: hypergeom([1/30, 7/30, 11/30, 13/30, 17/30, 19/30, 23/30, 29/30], [1/7, 2/7, 3/7, 1/2, 4/7, 5/7, 6/7], 85030560000000000/823543*x).

A295465 a(n) = (30*n)!*(5*n)!*(3*n)!/((15*n)!*(12*n)!*(10*n)!*n!).

Original entry on oeis.org

1, 84021990, 27148761423822150, 9954973275139484047762908, 3854033460136506985790722290997830, 1538140504965911180891074089844546665130740, 625941149813307100769398285275462870937611266492700, 258199006729578473819424192171981739783714836205236867089400
Offset: 0

Views

Author

Gheorghe Coserea, Nov 28 2017

Keywords

Crossrefs

Cf. A295431.

Programs

  • Mathematica
    Table[((3 n)! (5 n)! (30 n)!)/(n! (10 n)! (12 n)! (15 n)!),{n,0,20}] (* Harvey P. Dale, Aug 19 2020 *)

Formula

G.f.: hypergeom([1/30, 7/30, 11/30, 13/30, 17/30, 19/30, 23/30, 29/30], [1/12, 1/4, 5/12, 1/2, 7/12, 3/4, 11/12], 7119140625/16*x).
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