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A272237 a(n) = Product_{k=0..n} (n^2+k)^k. 3
2, 180, 2090880, 6044699520000, 7151106328088486400000, 5159620144413185246982598164480000, 3167269298042065159436486399933762922086400000000, 2200712918907364598767850489247066133407004510957047455416320000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..8.

FORMULA

a(n) = ((n^2+n)!)^(n+1) / A272238(n).

a(n) ~ exp(n/3 + 3/8) * n^(n*(n+1)).

MATHEMATICA

Table[Product[(n^2+k)^k, {k, 0, n}], {n, 1, 10}]

Table[((n^2+n)!)^(n+1) * BarnesG[n^2 + 1] / BarnesG[n^2 + n + 2], {n, 1, 10}]

CROSSREFS

Cf. A272163, A272180, A272238.

Sequence in context: A216355 A139942 A239548 * A094221 A324442 A032593

Adjacent sequences:  A272234 A272235 A272236 * A272238 A272239 A272240

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Apr 23 2016

STATUS

approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)