|
%I #6 Nov 22 2021 09:02:50
%S 0,1,34,2446,315788,66140883,21216724582,10063816019004,
%T 6854671838281696,6482951652242448021,8197210060548767881834,
%U 13365577359964731097098090,27292891758122129732383863668,68341049055686519197950975142247,206830351842829303737616801603098478
%N Sum_{k=0..n} k^(n+k)*(n-k)^k.
%F 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
%t Table[Sum[k^(n+k)*(n-k)^k, {k, 0, n}], {n, 1, 15}]
%Y Cf. A062817, A252708, A252710.
%K nonn,easy
%O 1,3
%A _Vaclav Kotesovec_, Dec 20 2014
|
