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 A360696 #10 Feb 16 2023 12:21:59 %S A360696 1,1,2,9,98,3212,428525,165045051,342128248388,2522279110319003, %T A360696 90930729844450829580,17690430223837969605522024, %U A360696 13516362920784209950583739768297,79459280482613898608830749440741093093 %N A360696 Expansion of Sum_{k>=0} (x * (1 + k^k * x))^k. %F A360696 a(n) = Sum_{k=0..floor(n/2)} (n-k)^(k*(n-k)) * binomial(n-k,k). %o A360696 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (x*(1+k^k*x))^k)) %o A360696 (PARI) a(n) = sum(k=0, n\2, (n-k)^(k*(n-k))*binomial(n-k, k)); %Y A360696 Cf. A000045, A360592, A360684. %Y A360696 Cf. A355463. %K A360696 nonn %O A360696 0,3 %A A360696 _Seiichi Manyama_, Feb 16 2023