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

0,2

Comments

Row 62 of A007318.

Links

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

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)

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 *)

Prog

(Sage) [binomial(62, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
(PARI) vector(62, n, n--; binomial(62, n)) \\ G. C. Greubel, Nov 14 2018
(Magma) [Binomial(62, n): n in [0..62]]; // G. C. Greubel, Nov 14 2018

Crossrefs

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

Sequence in context: A115504 A296359 A037962 * A035726 A017725 A092709

Adjacent sequences: A017775 A017776 A017777 * A017779 A017780 A017781

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved