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 A375951 #12 Sep 03 2024 12:14:01 %S A375951 1,5,45,570,9270,183840,4299360,115795920,3528915840,120032889840, %T A375951 4507313333040,185185602462240,8262852630732000,397873645339668480, %U A375951 20563762111640910720,1135441077379757372160,66703342626913255770240,4154100873615633462894720 %N A375951 Expansion of e.g.f. 1 / (1 + 3 * log(1 - x))^(5/3). %F A375951 a(n) = (1/2) * Sum_{k=0..n} A008544(k+1) * |Stirling1(n,k)|. %t A375951 nmax=17; CoefficientList[Series[1 / (1 + 3 * Log[1-x])^(5/3),{x,0,nmax}],x]*Range[0,nmax]! (* _Stefano Spezia_, Sep 03 2024 *) %o A375951 (PARI) a008544(n) = prod(k=0, n-1, 3*k+2); %o A375951 a(n) = sum(k=0, n, a008544(k+1)*abs(stirling(n, k, 1)))/2; %Y A375951 Cf. A354263, A365575, A375946. %Y A375951 Cf. A008544. %K A375951 nonn %O A375951 0,2 %A A375951 _Seiichi Manyama_, Sep 03 2024