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 A375950 #10 Sep 03 2024 12:14:13 %S A375950 1,6,66,1026,20586,505746,14698506,493198866,18762818826,797986018386, %T A375950 37518173169546,1932228677052306,108176937646278666, %U A375950 6541409475478588626,424885004809917954186,29502494166061176035346,2180808897487960097444106 %N A375950 Expansion of e.g.f. 1 / (5 - 4 * exp(x))^(3/2). %F A375950 a(n) = Sum_{k=0..n} A000407(k) * Stirling2(n,k). %t A375950 nmax=16; CoefficientList[Series[1 / (5 - 4 * Exp[x])^(3/2),{x,0,nmax}],x]*Range[0,nmax]! (* _Stefano Spezia_, Sep 03 2024 *) %o A375950 (PARI) a000407(n) = (2*n+1)!/n!; %o A375950 a(n) = sum(k=0, n, a000407(k)*stirling(n, k, 2)); %Y A375950 Cf. A000407, A354242, A375947. %K A375950 nonn %O A375950 0,2 %A A375950 _Seiichi Manyama_, Sep 03 2024