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A017755 Binomial coefficients C(n,91). 2
1, 92, 4278, 134044, 3183545, 61124064, 988172368, 13834413152, 171200862756, 1902231808400, 19212541264840, 178152655364880, 1529143625215220, 12233149001721760, 91748617512913200, 648356897091253280 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 23 17:33 EST 2022. Contains 350514 sequences. (Running on oeis4.)