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.

A377390 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - x*log(1-x))^2 ).

This page as a plain text file.
%I A377390 #14 Oct 27 2024 09:25:16
%S A377390 1,0,4,6,232,1380,46308,593880,20639456,434113344,16557009840,
%T A377390 490894572960,20995513516800,801146038080960,38632110899469696,
%U A377390 1791609186067646400,97167945389675212800,5275541489312858803200,319879838094553691744256,19820894989178283188198400
%N A377390 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - x*log(1-x))^2 ).
%H A377390 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A377390 E.g.f. A(x) satisfies A(x) = ( 1 - x*A(x)*log(1 - x*A(x)) )^2.
%F A377390 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A371229.
%F A377390 a(n) = 2 * n! * (2*n+1)! * Sum_{k=0..floor(n/2)} |Stirling1(n-k,k)|/( (n-k)! * (2*n-k+2)! ).
%o A377390 (PARI) a(n) = 2*n!*(2*n+1)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(2*n-k+2)!));
%Y A377390 Cf. A371121, A377391.
%Y A377390 Cf. A371229, A377360.
%K A377390 nonn
%O A377390 0,3
%A A377390 _Seiichi Manyama_, Oct 27 2024