A017781 Binomial coefficients C(65,n).

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

Offset

0,2

Comments

Row 65 of A007318.

Links

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

Formula

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)

Maple

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

Mathematica

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

Prog

(Sage) [binomial(65, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
(PARI) vector(65, n, n--; binomial(65, n)) \\ G. C. Greubel, Nov 14 2018
(Magma) [Binomial(65, n): n in [0..65]]; // G. C. Greubel, Nov 14 2018

Crossrefs

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

Sequence in context: A002502 A333118 A095027 * A017728 A300168 A004354

Adjacent sequences: A017778 A017779 A017780 * A017782 A017783 A017784

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved