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A112036
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a(n) = Sum_{k=0..n} k*C(n,k)^3*C(n+k,k), where C := binomial.
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1
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0, 2, 36, 708, 13800, 275010, 5546016, 112928648, 2316836304, 47818490310, 991809240180, 20655287811972, 431646101898336, 9046910585978538, 190096907348726280, 4003238051096801040, 84468326787457833888, 1785362928126983779374, 37794508394454024115212, 801183789256961484235340
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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Table[Sum[k*Binomial[n, k]^3*Binomial[n + k, k], {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jul 10 2021 *)
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PROG
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(PARI) a(n) = sum(k=0, n, k*binomial(n, k)^3*binomial(n+k, k)); \\ Michel Marcus, Mar 10 2016
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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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