A316746 Stirling transform of (n!)^4.

1, 1, 17, 1345, 339665, 210710401, 271870642577, 650913939232705, 2661046752028004945, 17435564825332632384001, 174183504568184377604440337, 2548324287404285657814061145665, 52811730527246707443094397271926225, 1507674139289925506595856944935243164801

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Eric Weisstein's World of Mathematics, Stirling Transform.

Formula

a(n) = Sum_{k=0..n} stirling2(n,k) * (k!)^4.

a(n) ~ n!^4.

Mathematica

Table[Sum[StirlingS2[n, k]*k!^4, {k, 0, n}], {n, 0, 20}]

Crossrefs

Cf. A000670, A064618, A263158.

Sequence in context: A266866 A289945 A128542 * A067409 A219562 A183236

Adjacent sequences: A316743 A316744 A316745 * A316747 A316748 A316749

Keyword

nonn

Author

Vaclav Kotesovec, Jul 12 2018

Status

approved