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A167869
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a(n) = 4^n * Sum_{k=0..n} binomial(2*k,k)^3 / 4^k.
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5
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1, 12, 264, 9056, 379224, 17519904, 858968640, 43860112128, 2307187351512, 124161781334048, 6803252453289408, 378260174003539200, 21287072393719585216, 1210206988807094340864, 69402141007670673363456
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = 4^n * Sum_{k=0..n} binomial(2*k,k)^3 / 4^k.
Recurrence: n^3*a(n) = 4*(17*n^3 - 24*n^2 + 12*n - 2)*a(n-1) - 32*(2*n-1)^3*a(n-2). - Vaclav Kotesovec, Aug 13 2013
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MATHEMATICA
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Table[4^n Sum[Binomial[2k, k]^3/4^k, {k, 0, n}], {n, 0, 30}] (* Vincenzo Librandi, Mar 26 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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