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

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A017760, A017761, A001787, A242091.

Programs

Magma

[Binomial(n,94): n in [94..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

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

PARI

for(n=94, 110, print1(binomial(n,94), ", ")) \\ G. C. Greubel, Nov 12 2018

Sage

[binomial(n, 94) for n in range(93,110)] # Zerinvary Lajos, May 23 2009

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)