cp's OEIS Frontend

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.

A377690 E.g.f. satisfies A(x) = 1 + x * (exp(x*A(x)^3) - 1).

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%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