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A017717
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Binomial coefficients C(n,53).
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4
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1, 54, 1485, 27720, 395010, 4582116, 45057474, 386206920, 2944827765, 20286591270, 127805525001, 743595781824, 4027810484880, 20448884000160, 97862516286480, 443643407165376, 1913212193400684, 7877932561061640
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OFFSET
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53,2
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LINKS
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FORMULA
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G.f.: x^53/(1-x)^54.
E.g.f.: x^53*exp(x)/53!. (End)
Sum_{n>=53} 1/a(n) = 53/52.
Sum_{n>=53} (-1)^(n+1)/a(n) = A001787(53)*log(2) - A242091(53)/52! = 238690780250636288*log(2) - 12818255587371480560673756439003166003 / 77476112606149917660 = 0.9821211403... (End)
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MATHEMATICA
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PROG
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(Sage) [binomial(n, 53) for n in range(53, 71)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=53, 80, print1(binomial(n, 53), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 53): n in [53..80]]; // G. C. Greubel, Nov 03 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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