A017755 Binomial coefficients C(n,91).

1, 92, 4278, 134044, 3183545, 61124064, 988172368, 13834413152, 171200862756, 1902231808400, 19212541264840, 178152655364880, 1529143625215220, 12233149001721760, 91748617512913200, 648356897091253280

Offset

91,2

Links

Michael De Vlieger, Table of n, a(n) for n = 91..10000

Formula

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

G.f.: x^91/(1-x)^92.

E.g.f.: x^91*exp(x)/91!. (End)

From Amiram Eldar, Dec 20 2020: (Start)

Sum_{n>=91} 1/a(n) = 91/90.

Sum_{n>=91} (-1)^(n+1)/a(n) = A001787(91)*log(2) - A242091(91)/90! = 112652543574969605015820304384*log(2) - 9636805159308514271767849526733246513466312934686984237288426594 / 123414621384871129001454714468591225 = 0.9893570273... (End)

Mathematica

Binomial[Range[91, 110], 91] (* Harvey P. Dale, May 11 2013 *)

Prog

(Sage) [binomial(n, 91) for n in range(91, 107)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=91, 110, print1(binomial(n, 91), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 91): n in [91..110]]; // G. C. Greubel, Nov 12 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A017808 A035741 A035808 * A157838 A145416 A093292

Adjacent sequences: A017752 A017753 A017754 * A017756 A017757 A017758

Keyword

nonn

Author

N. J. A. Sloane

Status

approved