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A096192
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a(n) = Sum_{k=1..n} C(n,k)^4 where C(n,k) is binomial(n,k).
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3
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1, 17, 163, 1809, 21251, 263843, 3395015, 44916497, 607041379, 8345319267, 116335834055, 1640651321763, 23365271704711, 335556407724359, 4854133484555663, 70666388112940817, 1034529673001901731
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..200
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FORMULA
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a(n) ~ 2^(4*n + 1/2) / (Pi*n)^(3/2). - Vaclav Kotesovec, Nov 27 2017
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MATHEMATICA
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Table[Sum[Binomial[n, k-1]^4, {k, 0, n}], {n, 1, 25}] (* Vincenzo Librandi, May 03 2013 *)
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CROSSREFS
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Equals A005260(n) - 1.
Sequence in context: A125645 A068518 A155664 * A076458 A299551 A124299
Adjacent sequences: A096189 A096190 A096191 * A096193 A096194 A096195
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KEYWORD
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nonn
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AUTHOR
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Gerald McGarvey, Jul 25 2004
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STATUS
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approved
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