A336294 a(n) = (n!)^n * [x^n] Product_{k>=1} (1 + x^k/(k!)^n).

1, 1, 1, 28, 257, 103126, 46667437282, 140776183474585, 38414859209967468545, 8006615289848673023223926602, 100856872226698664486645150126408916015626, 7425498079138047573566961707334890995112470771975

Offset: 0

Author

Ilya Gutkovskiy, Jul 16 2020

Keywords

• nonn

Crossrefs

Cf. A007837, A183229, A183230, A215910.

Programs

Mathematica

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