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 A377690 #9 Nov 04 2024 09:08:22 %S A377690 1,0,2,3,76,545,11166,175777,4012856,96530625,2685888730,83721921041, %T A377690 2843440273092,107065956887617,4332658616388662,190612061432096865, %U A377690 8961290146870598896,451334805268791262337,24156272027391899229234,1371678815491898403876913 %N A377690 E.g.f. satisfies A(x) = 1 + x * (exp(x*A(x)^3) - 1). %F A377690 a(n) = n! * Sum_{k=0..floor(n/2)} (3*n-3*k)! * Stirling2(n-k,k)/( (n-k)! * (3*n-4*k+1)! ). %o A377690 (PARI) a(n) = n!*sum(k=0, n\2, (3*n-3*k)!*stirling(n-k, k, 2)/((n-k)!*(3*n-4*k+1)!)); %Y A377690 Cf. A371262, A377687. %K A377690 nonn %O A377690 0,3 %A A377690 _Seiichi Manyama_, Nov 04 2024