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

0,3

Links

Table of n, a(n) for n=0..8.

Formula

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

Mathematica

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

Crossrefs

Main diagonal of A182933.

Cf. A000110, A070227, A094577.

Sequence in context: A034206 A085536 A008974 * A281956 A068738 A377768

Adjacent sequences: A308534 A308535 A308536 * A308538 A308539 A308540

Keyword

nonn

Author

Ilya Gutkovskiy, Jun 06 2019

Status

approved