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A017757
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Binomial coefficients C(n,93).
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2
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1, 94, 4465, 142880, 3464840, 67910864, 1120529256, 16007560800, 202095455100, 2290415157800, 23591276125340, 223044792457760, 1951641934005400, 15913388077274800, 121623751733457400, 875691012480893280, 5965645022526085470, 38601232498698200100
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OFFSET
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93,2
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LINKS
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FORMULA
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G.f.: x^93/(1-x)^94.
E.g.f.: x^93*exp(x)/93!. (End)
Sum_{n>=93} 1/a(n) = 93/92.
Sum_{n>=93} (-1)^(n+1)/a(n) = A001787(93)*log(2) - A242091(93)/92! = 460513694614161462262474211328*log(2) - 154188882548936228348285592429207553818975770453922184600043633629 / 483042174022506354371285118995346300 = 0.9895789421... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 93) for n in range(93, 108)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=93, 110, print1(binomial(n, 93), ", ")) \\ G. C. Greubel, Nov 12 2018
(Magma) [Binomial(n, 93): n in [93..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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