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A294319 a(n) = Product_{k=0..n} (3*k + 2)!. 4
2, 240, 9676800, 386266890240000, 33674087438261157888000000, 11977449554394932435557703221248000000000, 29139961073721833036780987632259240162985246720000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..6.

FORMULA

a(n) ~ 3^(3*n^2/2 + 4*n + 101/36) * (2*Pi)^(n/2 + 1/3) * n^(3*n^2/2 + 4*n + 91/36) * Gamma(1/3)^(1/3) / (A^(1/3) * exp(9*n^2/4 + 4*n - 1/36)), where A is the Glaisher-Kinkelin constant A074962.

A268504(n) * A294318(n) * A294319(n) = A000178(3*n + 2).

MATHEMATICA

Table[Product[(3*k + 2)!, {k, 0, n}] , {n, 0, 10}]

CROSSREFS

Cf. A268504, A294318.

Sequence in context: A071967 A024348 A006523 * A055968 A074256 A146312

Adjacent sequences:  A294316 A294317 A294318 * A294320 A294321 A294322

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 28 2017

STATUS

approved

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Last modified May 18 19:02 EDT 2021. Contains 344001 sequences. (Running on oeis4.)