A017727 Binomial coefficients C(n,63).

1, 64, 2080, 45760, 766480, 10424128, 119877472, 1198774720, 10639125640, 85113005120, 621324937376, 4179822305984, 26123889412400, 152724276564800, 839983521106400, 4367914309753280, 21566576904406820

Offset

63,2

Links

Michael De Vlieger, Table of n, a(n) for n = 63..10000

Formula

From G. C. Greubel, Nov 03 2018: (Start)

G.f.: x^63/(1-x)^64.

E.g.f.: x^63*exp(x)/63!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=63} 1/a(n) = 63/62.

Sum_{n>=63} (-1)^(n+1)/a(n) = A001787(63)*log(2) - A242091(63)/62! = 290536219160925437952*log(2) - 23620045751782378911483133238094693227021389 / 117288381359406970983270 = 0.9848351324... (End)

Mathematica

With[{x = 63}, Binomial[Range[x, x + 16], x]] (* Michael De Vlieger, Jan 31 2018 *)

Prog

(Sage) [binomial(n, 63) for n in range(63, 80)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=63, 80, print1(binomial(n, 63), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 63): n in [63..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A035727 A035801 A239739 * A089458 A283280 A082559

Adjacent sequences: A017724 A017725 A017726 * A017728 A017729 A017730

Keyword

nonn

Author

N. J. A. Sloane

Status

approved