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A252710 Sum_{k=0..n} k^(n-k)*(n+k)^k. 3
2, 19, 270, 5274, 131250, 3971953, 141615782, 5814096100, 270145723914, 14014491434175, 802959561033630, 50357860270776302, 3431283333644097698, 252413829036827831821, 19937800344936448113750, 1683065517269356710047112, 151213514611062314791034874 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..17.

FORMULA

a(n) ~ 2^n * n^n / (1-exp(-1/2)/2). - Vaclav Kotesovec, Dec 20 2014

MATHEMATICA

Table[Sum[k^(n-k)*(n+k)^k, {k, 0, n}], {n, 1, 20}]

CROSSREFS

Cf. A062817, A252708, A252709.

Sequence in context: A234505 A239108 A191806 * A065923 A293946 A094476

Adjacent sequences:  A252707 A252708 A252709 * A252711 A252712 A252713

KEYWORD

nonn,easy

AUTHOR

Vaclav Kotesovec, Dec 20 2014

STATUS

approved

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Last modified July 13 04:01 EDT 2020. Contains 335673 sequences. (Running on oeis4.)