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A036915
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a(n) = Sum_{k=0..n} C(2*n-2*k,n-k)^2 * C(2*n,k)^2.
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2
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1, 8, 136, 2996, 76168, 2121808, 62886484, 1947164948, 62250464648, 2038917457664, 68056394358736, 2306354482651568, 79138758509239636, 2743929765899780336, 95983445574557632948, 3383168407446955236196, 120039826640626408744328
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OFFSET
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0,2
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REFERENCES
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There's an erroneous assertion (caused by a typographical error) in the first printing of M. Petkovsek et al., "A=B", Peters, p. ix. that this is the same as A036917; it is not.
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LINKS
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MATHEMATICA
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Table[Sum[Binomial[2n-2k, n-k]^2 Binomial[2n, k]^2, {k, 0, n}], {n, 0, 20}] (* Harvey P. Dale, May 31 2015 *)
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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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