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

95,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 95) for n in range(95, 110)] # Zerinvary Lajos, May 23 2009
(PARI) a(n)=binomial(n, 95) \\ Charles R Greathouse IV, Jun 28 2012
(Magma) [Binomial(n, 95): n in [95..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A017760, A017761, A001787, A242091.

Sequence in context: A017812 A035743 A035809 * A251159 A004392 A229585

Adjacent sequences: A017756 A017757 A017758 * A017760 A017761 A017762

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved