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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..15. 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 Cf. A062817, A252708, A252710. Sequence in context: A242177 A187591 A160471 * A138590 A069223 A258499 Adjacent sequences: A252706 A252707 A252708 * A252710 A252711 A252712 KEYWORD nonn,easy AUTHOR Vaclav Kotesovec, Dec 20 2014 STATUS approved

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Last modified August 3 08:07 EDT 2024. Contains 374885 sequences. (Running on oeis4.)