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A323533 a(n) = Product_{k=1..n} (binomial(k-1,5) + binomial(n-k,5)). 6
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 790420571136, 100389735898841088, 14582663231533605863424, 2458550581659926554038239232, 529554691027323329170207744475136, 146980847512952623091566575072055001088, 53003014923687519392206631372837133989462016 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) ~ exp((1 + 2*Pi*sqrt(5 - 2/sqrt(5))/5) * (n-5)) * n^(5*n) / (exp(5*n)*120^n).

MATHEMATICA

Table[Product[Binomial[k-1, 5] + Binomial[n-k, 5], {k, 1, n}], {n, 0, 20}]

PROG

(PARI) a(n) = prod(k=1, n, binomial(k-1, 5) + binomial(n-k, 5)); \\ Michel Marcus, Jan 17 2019

CROSSREFS

Cf. A000389, A323425, A323496, A323497, A323534, A323535.

Sequence in context: A017531 A233806 A066543 * A233800 A162027 A172616

Adjacent sequences:  A323530 A323531 A323532 * A323534 A323535 A323536

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jan 17 2019

STATUS

approved

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Last modified March 24 11:34 EDT 2019. Contains 321448 sequences. (Running on oeis4.)