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A252709
Sum_{k=0..n} k^(n+k)*(n-k)^k.
3
0, 1, 34, 2446, 315788, 66140883, 21216724582, 10063816019004, 6854671838281696, 6482951652242448021, 8197210060548767881834, 13365577359964731097098090, 27292891758122129732383863668, 68341049055686519197950975142247, 206830351842829303737616801603098478
OFFSET
1,3
FORMULA
log(a(n)) ~ n*(3*log(n)- log(log(n)) - 1 - log(2) + (log(log(n)) + log(2) - 2) / (2*log(n))). - Vaclav Kotesovec, Nov 22 2021
MATHEMATICA
Table[Sum[k^(n+k)*(n-k)^k, {k, 0, n}], {n, 1, 15}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vaclav Kotesovec, Dec 20 2014
STATUS
approved