A336666 a(n) = (n!)^n * [x^n] 1 / (Sum_{k>=0} (-x)^k / (k!)^n)^n.

1, 1, 10, 1839, 10386076, 2920439606255, 61647526987008365796, 138198647831589723000626151799, 44295532378421071881332203441924537230328, 2630596041328098180368767727753901255310559993154210399, 36407288356000016897632843477214290941136877077516693440464220432175060

Offset: 0

Author

Ilya Gutkovskiy, Jul 29 2020

Keywords

• nonn

Crossrefs

Cf. A212806, A245398, A336665.

Programs

Mathematica

Table[(n!)^n SeriesCoefficient[1/Sum[(-x)^k/(k!)^n, {k, 0, n}]^n, {x, 0, n}], {n, 0, 10}]