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A017755
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Binomial coefficients C(n,91).
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2
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1, 92, 4278, 134044, 3183545, 61124064, 988172368, 13834413152, 171200862756, 1902231808400, 19212541264840, 178152655364880, 1529143625215220, 12233149001721760, 91748617512913200, 648356897091253280
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OFFSET
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91,2
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LINKS
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FORMULA
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G.f.: x^91/(1-x)^92.
E.g.f.: x^91*exp(x)/91!. (End)
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)
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MATHEMATICA
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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