A017816 -id:A017816 - cp's OEIS frontend

A017778 Binomial coefficients C(62,n).

1, 62, 1891, 37820, 557845, 6471002, 61474519, 491796152, 3381098545, 20286591270, 107518933731, 508271323092, 2160153123141, 8308281242850, 29078984349975, 93052749919920, 273342452889765, 739632519584070, 1849081298960175, 4282083008118300

Offset: 0

N. J. A. Sloane

Row 62 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..62 (full sequence)

Cf. A010926-A011001, A017765-A017777, A017779-A017816.

[Binomial(62,n): n in [0..62]]; // G. C. Greubel, Nov 14 2018

seq(binomial(62,n), n=0..62); # Nathaniel Johnston, Jun 24 2011

Binomial[62, Range[0,62]] (* G. C. Greubel, Nov 14 2018 *)
CoefficientList[Series[(1+x)^62,{x,0,20}],x] (* Harvey P. Dale, Aug 11 2024 *)

vector(62, n, n--; binomial(62,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(62, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^62.
E.g.f.: 1F1(-62; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017779 Binomial coefficients C(63,n).

Original entry on oeis.org

1, 63, 1953, 39711, 595665, 7028847, 67945521, 553270671, 3872894697, 23667689815, 127805525001, 615790256823, 2668424446233, 10468434365991, 37387265592825, 122131734269895, 366395202809685, 1012974972473835, 2588713818544245, 6131164307078475

Offset: 0

N. J. A. Sloane

Row 63 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..63 (full sequence)

Cf. A010926-A011001, A017765-A017778, A017780-A017816.

[Binomial(63,n): n in [0..63]]; // G. C. Greubel, Nov 14 2018

seq(binomial(63,n), n=0..63); # Nathaniel Johnston, Jun 24 2011

Binomial[63, Range[0,63]] (* G. C. Greubel, Nov 14 2018 *)

vector(63, n, n--; binomial(63,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(63, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^63.
E.g.f.: 1F1(-63; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017780 Binomial coefficients C(64,n).

Original entry on oeis.org

1, 64, 2016, 41664, 635376, 7624512, 74974368, 621216192, 4426165368, 27540584512, 151473214816, 743595781824, 3284214703056, 13136858812224, 47855699958816, 159518999862720, 488526937079580, 1379370175283520, 3601688791018080

Offset: 0

N. J. A. Sloane

Row 64 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..64 (full sequence)

Cf. A010926-A011001, A017765-A017779, A017781-A017816.

[Binomial(64,n): n in [0..64]]; // G. C. Greubel, Nov 14 2018

seq(binomial(64,n), n=0..64); # Nathaniel Johnston, Jun 24 2011

Binomial[64, Range[0,64]] (* G. C. Greubel, Nov 14 2018 *)

vector(64, n, n--; binomial(64,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(64, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^64.
E.g.f.: 1F1(-64; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017781 Binomial coefficients C(65,n).

Original entry on oeis.org

1, 65, 2080, 43680, 677040, 8259888, 82598880, 696190560, 5047381560, 31966749880, 179013799328, 895068996640, 4027810484880, 16421073515280, 60992558771040, 207374699821536, 648045936942300, 1867897112363100, 4981058966301600, 12321566916640800

Offset: 0

N. J. A. Sloane

Row 65 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..65 (full sequence)

Cf. A010926-A011001, A017765-A017780, A017782-A017816.

[Binomial(65,n): n in [0..65]]; // G. C. Greubel, Nov 14 2018

seq(binomial(65,n), n=0..65); # Nathaniel Johnston, Jun 24 2011

Binomial[65, Range[0,65]] (* G. C. Greubel, Nov 14 2018 *)

vector(65, n, n--; binomial(65,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(65, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^65.
E.g.f.: 1F1(-65; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017782 Binomial coefficients C(66,n).

Original entry on oeis.org

1, 66, 2145, 45760, 720720, 8936928, 90858768, 778789440, 5743572120, 37014131440, 210980549208, 1074082795968, 4922879481520, 20448884000160, 77413632286320, 268367258592576, 855420636763836, 2515943049305400, 6848956078664700

Offset: 0

N. J. A. Sloane

Row 66 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..66 (full sequence)

Cf. A010926-A011001, A017765-A017781, A017783-A017816.

[Binomial(66,n): n in [0..66]]; // G. C. Greubel, Nov 14 2018

seq(binomial(66,n), n=0..66); # Nathaniel Johnston, Jun 24 2011

Binomial[66, Range[0,66]] (* G. C. Greubel, Nov 14 2018 *)

vector(66, n, n--; binomial(66,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(66, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^66.
E.g.f.: 1F1(-66; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017783 Binomial coefficients C(67,n).

Original entry on oeis.org

1, 67, 2211, 47905, 766480, 9657648, 99795696, 869648208, 6522361560, 42757703560, 247994680648, 1285063345176, 5996962277488, 25371763481680, 97862516286480, 345780890878896, 1123787895356412, 3371363686069236, 9364899127970100, 24151581961607100

Offset: 0

N. J. A. Sloane

Row 67 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..67 (full sequence)

Cf. A010926-A011001, A017765-A017782, A017784-A017816.

[Binomial(67,n): n in [0..67]]; // G. C. Greubel, Nov 14 2018

seq(binomial(67,n), n=0..67); # Nathaniel Johnston, Jun 24 2011

Binomial[67, Range[0,67]] (* G. C. Greubel, Nov 14 2018 *)

vector(67, n, n--; binomial(67,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(67, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^67.
E.g.f.: 1F1(-67; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017784 Binomial coefficients C(68,n).

Original entry on oeis.org

1, 68, 2278, 50116, 814385, 10424128, 109453344, 969443904, 7392009768, 49280065120, 290752384208, 1533058025824, 7282025622664, 31368725759168, 123234279768160, 443643407165376, 1469568786235308, 4495151581425648, 12736262814039336

Offset: 0

N. J. A. Sloane

Row 68 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..68 (full sequence)

Cf. A010926-A011001, A017765-A017783, A017785-A017816.

[Binomial(68,n): n in [0..68]]; // G. C. Greubel, Nov 14 2018

seq(binomial(68,n), n=0..68); # Nathaniel Johnston, Jun 24 2011

Table[Binomial[68, n], {n, 0, 68}] (* Wesley Ivan Hurt, Mar 04 2014 *)

vector(68, n, n--; binomial(68,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(68, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^68.
E.g.f.: 1F1(-68; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017785 Binomial coefficients C(69,n).

Original entry on oeis.org

1, 69, 2346, 52394, 864501, 11238513, 119877472, 1078897248, 8361453672, 56672074888, 340032449328, 1823810410032, 8815083648488, 38650751381832, 154603005527328, 566877686933536, 1913212193400684, 5964720367660956, 17231414395464984

Offset: 0

N. J. A. Sloane

Row 69 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..69 (full sequence)

Cf. A010926-A011001, A017765-A017784, A017786-A017816.

[Binomial(69,n): n in [0..69]]; // G. C. Greubel, Nov 14 2018

seq(binomial(69,n), n=0..69); # Nathaniel Johnston, Jun 24 2011

Binomial[69,Range[0,20]] (* Harvey P. Dale, May 27 2012 *)

vector(69, n, n--; binomial(69,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(69, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^69.
E.g.f.: 1F1(-69; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017786 Binomial coefficients C(70,n).

Original entry on oeis.org

1, 70, 2415, 54740, 916895, 12103014, 131115985, 1198774720, 9440350920, 65033528560, 396704524216, 2163842859360, 10638894058520, 47465835030320, 193253756909160, 721480692460864, 2480089880334220, 7877932561061640, 23196134763125940

Offset: 0

N. J. A. Sloane

Row 70 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..70 (full sequence)

Cf. A010926-A011001, A017765-A017785, A017787-A017816.

[Binomial(70,n): n in [0..70]]; // G. C. Greubel, Nov 14 2018

seq(binomial(70,n), n=0..70); # Nathaniel Johnston, Jun 24 2011

Binomial[70, Range[0,70]] (* G. C. Greubel, Nov 14 2018 *)

vector(70, n, n--; binomial(70,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(70, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 14 2018: (Start)
G.f.: (1+x)^70.
E.g.f.: 1F1(-70; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

A017787 Binomial coefficients C(71,n).

Original entry on oeis.org

1, 71, 2485, 57155, 971635, 13019909, 143218999, 1329890705, 10639125640, 74473879480, 461738052776, 2560547383576, 12802736917880, 58104729088840, 240719591939480, 914734449370024, 3201570572795084, 10358022441395860, 31074067324187580

Offset: 0

N. J. A. Sloane

Row 71 of A007318.

Nathaniel Johnston, Table of n, a(n) for n = 0..71 (full sequence)

Cf. A010926-A011001, A017765-A017786, A017788-A017816.

[Binomial(71,n): n in [0..71]]; // G. C. Greubel, Nov 14 2018

seq(binomial(71,n), n=0..71); # Nathaniel Johnston, Jun 24 2011

Binomial[71,Range[0,71]] (* Harvey P. Dale, Jun 15 2016 *)

vector(71, n, n--; binomial(71,n)) \\ G. C. Greubel, Nov 14 2018

[binomial(71, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

From G. C. Greubel, Nov 13 2018: (Start)
G.f.: (1+x)^71.
E.g.f.: 1F1(-71; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

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A017778 Binomial coefficients C(62,n).

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A017779 Binomial coefficients C(63,n).

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A017780 Binomial coefficients C(64,n).

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A017781 Binomial coefficients C(65,n).

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Sage

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A017782 Binomial coefficients C(66,n).

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Magma

Maple

Mathematica

PARI

Sage

Formula

A017783 Binomial coefficients C(67,n).

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Magma