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 A367428 #10 Nov 18 2023 08:27:35 %S A367428 1,2,4,26,106,1508,5860,221240,-105080,68914880,-673608800, %T A367428 40800296480,-879775393760,40553067851840,-1318206835981760, %U A367428 60190275180475520,-2497504364769226880,122572211951306635520,-6006028623693488806400,324246374847303660704000 %N A367428 Expansion of e.g.f. 1 / (1 - log(1 + 3*x))^(2/3). %F A367428 a(n) = Sum_{k=0..n} 3^(n-k) * (Product_{j=0..k-1} (3*j+2)) * Stirling1(n,k). %F A367428 a(0) = 1; a(n) = Sum_{k=1..n} (-3)^k * (1/3 * k/n - 1) * (k-1)! * binomial(n,k) * a(n-k). %o A367428 (PARI) a(n) = sum(k=0, n, 3^(n-k)*prod(j=0, k-1, 3*j+2)*stirling(n, k, 1)); %Y A367428 Cf. A352070, A365599. %K A367428 sign %O A367428 0,2 %A A367428 _Seiichi Manyama_, Nov 18 2023