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

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,63): n in [63..80]]; // G. C. Greubel, Nov 03 2018

Mathematica

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

PARI

for(n=63, 80, print1(binomial(n,63), ", ")) \\ G. C. Greubel, Nov 03 2018

Sage

[binomial(n, 63) for n in range(63,80)] # Zerinvary Lajos, May 23 2009

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)