A308537 a(n) = exp(-1) * Sum_{k>=0} (k + n - 1)!^n/(k!*(k - 1)!^n).

1, 1, 27, 104149, 192052025697, 401307330353526478576, 1891640643805444860923624673784723, 35720630453521390599442254755998585843785410691847, 4425335738067265257031641848982502946902371654704454173556393591653249

Offset: 0

Author

Ilya Gutkovskiy, Jun 06 2019

Keywords

• nonn

Crossrefs

Main diagonal of A182933.

Cf. A000110, A070227, A094577.

Programs

Mathematica

Table[Exp[-1] Sum[(k + n - 1)!^n/(k! (k - 1)!^n), {k, 0, Infinity}], {n, 0, 8}]

Formula

a(n) = A182933(n,n).