A017758 Binomial coefficients C(n,94).

1, 95, 4560, 147440, 3612280, 71523144, 1192052400, 17199613200, 219295068300, 2509710226100, 26100986351440, 249145778809200, 2200787712814600, 18114175790089400, 139737927523546800, 1015428940004440080, 6981073962530525550, 45582306461228725650

Offset

94,2

Links

Michael De Vlieger, Table of n, a(n) for n = 94..10000

Formula

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

G.f.: x^94/(1-x)^95.

E.g.f.: x^94*exp(x)/94!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=94} 1/a(n) = 94/93.

Sum_{n>=94} (-1)^n/a(n) = A001787(94)*log(2) - A242091(94)/93! = 930930909542605966724141416448*log(2) - 154188882548936228348285592429449074905987023631107827159541306779 / 238951713745176015726220830141314925 = 0.9896864636... (End)

Mathematica

Table[Binomial[n, 94], {n, 94, 120}] (* Vladimir Joseph Stephan Orlovsky, Jul 15 2011 *)

Prog

(Sage) [binomial(n, 94) for n in range(93, 110)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=94, 110, print1(binomial(n, 94), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 94): n in [94..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A017760, A017761, A001787, A242091.

Sequence in context: A093295 A060484 A017811 * A203342 A255936 A203187

Adjacent sequences: A017755 A017756 A017757 * A017759 A017760 A017761

Keyword

nonn

Author

N. J. A. Sloane

Status

approved