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 A377492 #8 Oct 30 2024 08:04:35 %S A377492 1,2,24,562,19974,958468,58085192,4258862844,366713780800, %T A377492 36281317505040,4056212559155664,505750435243636944, %U A377492 69586186789180895904,10473322720889293098624,1711744141030969885684320,301912919501972279345773920,57159241548809543158165770240 %N A377492 E.g.f. satisfies A(x) = 1/(1 + A(x) * log(1 - x*A(x)))^2. %F A377492 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377494. %F A377492 a(n) = 2 * Sum_{k=0..n} (2*n+3*k+1)!/(2*n+2*k+2)! * |Stirling1(n,k)|. %o A377492 (PARI) a(n) = 2*sum(k=0, n, (2*n+3*k+1)!/(2*n+2*k+2)!*abs(stirling(n, k, 1))); %Y A377492 Cf. A367159, A377493. %Y A377492 Cf. A377411, A377494. %K A377492 nonn %O A377492 0,2 %A A377492 _Seiichi Manyama_, Oct 29 2024