A017779 Binomial coefficients C(63,n).

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

Offset

0,2

Comments

Row 63 of A007318.

Links

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

Formula

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)

Maple

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

Mathematica

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

Prog

(SageMath) [binomial(63, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
(PARI) vector(63, n, n--; binomial(63, n)) \\ G. C. Greubel, Nov 14 2018
(Magma) [Binomial(63, n): n in [0..63]]; // G. C. Greubel, Nov 14 2018

Crossrefs

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

Sequence in context: A341569 A005463 A160896 * A110826 A017726 A240421

Adjacent sequences: A017776 A017777 A017778 * A017780 A017781 A017782

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved