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A336180
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a(n) = Sum_{k=0..n} (-n)^k * binomial(n,k)^3.
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3
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1, 0, -11, 136, -639, -25624, 1133245, -27431424, 259448833, 17402599792, -1405909697499, 63884679938960, -1830503703899519, -5324845289379264, 5494299851213052685, -496909924804074650624, 30201149245542631276545, -1236819213672144144878752, 5410434345252588202534741
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = hypergeom([-n, -n, -n], [1, 1], n). - Peter Luschny, Dec 22 2020
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MAPLE
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a := n -> hypergeom([-n, -n, -n], [1, 1], n):
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MATHEMATICA
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Array[Function[n, 1 + Sum[(-n)^k Binomial[n, k]^3, {k, n}]], 19, 0] (* Jan Mangaldan, Jul 14 2020 *)
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PROG
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(PARI) {a(n) = sum(k=0, n, (-n)^k*binomial(n, k)^3)}
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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