This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A349965 #16 Dec 08 2021 06:49:55 %S A349965 1,1,2,7,47,513,8020,169227,4637965,159568981,6684686230,332681461871, %T A349965 19316990453131,1292074091000105,98636639620170792, %U A349965 8528989125071254867,829516920337723299465,90124512307642049807293,10865612430780251465538154 %N A349965 a(n) = Sum_{k=0..n} (k * (n-k))^k. %H A349965 Seiichi Manyama, <a href="/A349965/b349965.txt">Table of n, a(n) for n = 0..286</a> %F A349965 log(a(n)) ~ n*(2*log(n) - 1 + (1/(2*log(n)) - 1)*log(2*log(n))). - _Vaclav Kotesovec_, Dec 07 2021 %t A349965 a[n_] := Sum[If[k == 0, 1, (k*(n - k))^k], {k, 0, n}]; Array[a, 19, 0] (* _Amiram Eldar_, Dec 07 2021 *) %o A349965 (PARI) a(n) = sum(k=0, n, (k*(n-k))^k); %Y A349965 Cf. A026898, A100262, A349966. %K A349965 nonn %O A349965 0,3 %A A349965 _Seiichi Manyama_, Dec 07 2021