A017739 Binomial coefficients C(n,75).

1, 76, 2926, 76076, 1502501, 24040016, 324540216, 3801756816, 39443226966, 368136785016, 3129162672636, 24464362713336, 177366629671686, 1200635647008336, 7632612327410136, 45795673964460816

Offset

75,2

Links

Michael De Vlieger, Table of n, a(n) for n = 75..10000

Formula

From G. C. Greubel, Nov 09 2018: (Start)

G.f.: x^75/(1-x)^76.

E.g.f.: x^75*exp(x)/75!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=75} 1/a(n) = 75/74.

Sum_{n>=75} (-1)^(n+1)/a(n) = A001787(75)*log(2) - A242091(75)/74! = 1416709944860893564108800*log(2) - 83991764047971334996179436607161740581470072578392225 / 85532329258422950716304779287 = 0.9871713508... (End)

Mathematica

Array[Binomial[#, 75] &, 15, 76] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 75) for n in range(75, 91)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=75, 95, print1(binomial(n, 75), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 75): n in [75..95]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017792 A035733 A035804 * A278685 A198530 A234176

Adjacent sequences: A017736 A017737 A017738 * A017740 A017741 A017742

Keyword

nonn

Author

N. J. A. Sloane

Status

approved