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A017755 Binomial coefficients C(n,91). 2

%I #24 Sep 08 2022 08:44:43

%S 1,92,4278,134044,3183545,61124064,988172368,13834413152,171200862756,

%T 1902231808400,19212541264840,178152655364880,1529143625215220,

%U 12233149001721760,91748617512913200,648356897091253280

%N Binomial coefficients C(n,91).

%H Michael De Vlieger, <a href="/A017755/b017755.txt">Table of n, a(n) for n = 91..10000</a>

%F From _G. C. Greubel_, Nov 12 2018: (Start)

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

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

%F From _Amiram Eldar_, Dec 20 2020: (Start)

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

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

%t Binomial[Range[91,110],91] (* _Harvey P. Dale_, May 11 2013 *)

%o (Sage) [binomial(n, 91) for n in range(91,107)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=91, 110, print1(binomial(n,91), ", ")) \\ _G. C. Greubel_, Nov 12 2018

%o (Magma) [Binomial(n,91): n in [91..110]]; // _G. C. Greubel_, Nov 12 2018

%Y Cf. A001787, A242091.

%K nonn

%O 91,2

%A _N. J. A. Sloane_

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Last modified April 18 15:48 EDT 2024. Contains 371780 sequences. (Running on oeis4.)