A308333 a(n) = n! * [x^n] (1 + x)^exp(n*x).

1, 1, 4, 36, 528, 11675, 359640, 14519337, 736902656, 45751463361, 3406549900000, 299204233781497, 30553846336392192, 3582331552631208533, 477188038404378339584, 71582596353063387354375, 12001959362744065545994240, 2234380582272202437600859617

Offset: 0

Author

Ilya Gutkovskiy, May 20 2019

Keywords

• nonn

Crossrefs

Cf. A007116, A302581, A308332.

Programs

Mathematica

Table[n! SeriesCoefficient[(1 + x)^Exp[n x], {x, 0, n}], {n, 0, 17}]