A017759 Binomial coefficients C(n,95).

1, 96, 4656, 152096, 3764376, 75287520, 1267339920, 18466953120, 237762021420, 2747472247520, 28848458598960, 277994237408160, 2478781950222760, 20592957740312160, 160330885263858960, 1175759825268299040, 8156833787798824590, 53739140249027550240

Offset: 95

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Michael De Vlieger, Table of n, a(n) for n = 95..10000

Crossrefs

Cf. A017760, A017761, A001787, A242091.

Programs

Magma

[Binomial(n,95): n in [95..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

Table[Binomial[n, 95], {n, 95, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

PARI

a(n)=binomial(n,95) \\ Charles R Greathouse IV, Jun 28 2012

Sage

[binomial(n, 95) for n in range(95,110)] # Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 12 2018: (Start)

G.f.: x^95/(1-x)^96.

E.g.f.: x^95*exp(x)/95!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=95} 1/a(n) = 95/94.

Sum_{n>=95} (-1)^(n+1)/a(n) = A001787(95)*log(2) - A242091(95)/94! = 1881668859713778017846668820480*log(2) - 308377765097872456696571184859137101525719223277941875149223928483 / 236436432547858373455418505613511610 = 0.9897917882... (End)