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A336294 a(n) = (n!)^n * [x^n] Product_{k>=1} (1 + x^k/(k!)^n). 1
1, 1, 1, 28, 257, 103126, 46667437282, 140776183474585, 38414859209967468545, 8006615289848673023223926602, 100856872226698664486645150126408916015626, 7425498079138047573566961707334890995112470771975 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..11.

MATHEMATICA

Table[(n!)^n SeriesCoefficient[Product[(1 + x^k/(k!)^n), {k, 1, n}], {x, 0, n}], {n, 0, 11}]

CROSSREFS

Cf. A007837, A183229, A183230, A215910.

Sequence in context: A240003 A225242 A189606 * A172214 A093196 A179098

Adjacent sequences:  A336291 A336292 A336293 * A336295 A336296 A336297

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Jul 16 2020

STATUS

approved

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Last modified July 24 11:06 EDT 2021. Contains 346273 sequences. (Running on oeis4.)