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.

A377494 E.g.f. satisfies A(x) = 1/(1 + A(x)^2 * log(1 - x*A(x)^2)).

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%I A377494 #8 Oct 30 2024 08:04:43
%S A377494 1,1,11,248,8632,408794,24550512,1788220664,153204336480,
%T A377494 15097630639464,1682516996213376,209233809698022240,
%U A377494 28725012833286981456,4315256340778010888688,704140465438516958644512,124020015235118786512297728,23450965881108082875087150336,4738390708952218941582313234176
%N A377494 E.g.f. satisfies A(x) = 1/(1 + A(x)^2 * log(1 - x*A(x)^2)).
%F A377494 a(n) = Sum_{k=0..n} (2*n+3*k)!/(2*n+2*k+1)! * |Stirling1(n,k)|.
%o A377494 (PARI) a(n) = sum(k=0, n, (2*n+3*k)!/(2*n+2*k+1)!*abs(stirling(n, k, 1)));
%Y A377494 Cf. A007840, A367159, A377497.
%Y A377494 Cf. A377492.
%K A377494 nonn
%O A377494 0,3
%A A377494 _Seiichi Manyama_, Oct 29 2024