A017756 Binomial coefficients C(n,92).

1, 93, 4371, 138415, 3321960, 64446024, 1052618392, 14887031544, 186087894300, 2088319702700, 21300860967540, 199453516332420, 1728597141547640, 13961746143269400, 105710363656182600

Offset: 92

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 92..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,92): n in [92..110]]; // G. C. Greubel, Nov 12 2018

Mathematica

Array[Binomial[#, 92] &, 15, 92] (* Michael De Vlieger, Jul 06 2018 *)

PARI

for(n=92, 110, print1(binomial(n,92), ", ")) \\ G. C. Greubel, Nov 12 2018

Sage

[binomial(n, 92) for n in range(92,107)] # Zerinvary Lajos, May 23 2009

Formula

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

G.f.: x^92/(1-x)^93.

E.g.f.: x^92*exp(x)/92!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=92} 1/a(n) = 92/91.

Sum_{n>=92} (-1)^n/a(n) = A001787(92)*log(2) - A242091(92)/91! = 227780967228509970581438857216*log(2) - 77094441274468114174142796214359630593269987993501692756181777652 / 488292632435794466918799087680078325 = 0.9894691541... (End)