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A050984
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de Bruijn's S(5,n).
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2
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1, 30, 5730, 1696800, 613591650, 248832363780, 108702332138400, 50030418256790400, 23933662070438513250, 11795304320307625903500, 5952113838155498195161980, 3061813957188788125283450400
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OFFSET
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0,2
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REFERENCES
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N. G. de Bruijn, Asymptotic Methods in Analysis, North-Holland Publishing Co., 1958. See chapters 4 and 6.
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LINKS
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Table of n, a(n) for n=0..11.
Eric Weisstein's World of Mathematics, Binomial Sums
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FORMULA
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E.g.f.: Sum(n>=0,I^n*x^n/n!^5) * Sum(n>=0,(-I)^n*x^n/n!^5) = Sum(n>=0,a(n)*x^(2*n)/n!^5) where I^2=-1. [From Paul D. Hanna, Dec 21 2011]
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MATHEMATICA
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Sum[ (-1)^(k+n)Binomial[ 2n, k ]^5, {k, 0, 2n} ]
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PROG
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(PARI) a(n)=sum(k=0, 2*n, (-1)^(k+n)*binomial(2*n, k)^5) \\ Charles R Greathouse IV, Dec 21 2011
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CROSSREFS
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Cf. A000984, A006480, A050983.
Sequence in context: A204975 A204702 A206647 * A169686 A184889 A087216
Adjacent sequences: A050981 A050982 A050983 * A050985 A050986 A050987
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KEYWORD
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nonn
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AUTHOR
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Eric W. Weisstein
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STATUS
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approved
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