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A323533
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a(n) = Product_{k=1..n} (binomial(k-1,5) + binomial(n-k,5)).
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6
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1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 790420571136, 100389735898841088, 14582663231533605863424, 2458550581659926554038239232, 529554691027323329170207744475136, 146980847512952623091566575072055001088, 53003014923687519392206631372837133989462016
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OFFSET
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0,11
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LINKS
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FORMULA
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a(n) ~ exp((1 + 2*Pi*sqrt(5 - 2/sqrt(5))/5) * (n-5)) * n^(5*n) / (exp(5*n)*120^n).
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MATHEMATICA
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Table[Product[Binomial[k-1, 5] + Binomial[n-k, 5], {k, 1, n}], {n, 0, 20}]
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PROG
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(PARI) a(n) = prod(k=1, n, binomial(k-1, 5) + binomial(n-k, 5)); \\ Michel Marcus, Jan 17 2019
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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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