A072035 Sum(binomial(n,k)*n^k*k^n,k=1..n).

1, 20, 954, 87824, 13277400, 2988592452, 937739606608, 391256502530112, 209506323336693120, 140051598716610088100, 114320471347170303646464, 111901561431908734444117392

Offset

1,2

Links

Table of n, a(n) for n=1..12.

Formula

a(n) ~ exp(1/exp(1)) * n^(2*n). - Vaclav Kotesovec, Jun 03 2013

Mathematica

Table[Sum[Binomial[n, k]*n^k*k^n, {k, 1, n}], {n, 1, 20}] (* Vaclav Kotesovec, Jun 03 2013 *)

Crossrefs

Sequence in context: A066802 A354814 A066798 * A269413 A274764 A069578

Adjacent sequences: A072032 A072033 A072034 * A072036 A072037 A072038

Keyword

nonn

Author

Karol A. Penson, Jun 07 2002

Status

approved