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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 62 of A007318.

Links

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

Crossrefs

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

Programs

Magma

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

Maple

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

Mathematica

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 *)

PARI

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

Sage

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

Formula

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)