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 A377452 #7 Oct 29 2024 09:07:06 %S A377452 1,2,16,224,4612,126392,4340836,179534504,8693925172,482731239032, %T A377452 30243460133956,2110849596096584,162438922745208532, %U A377452 13665129603889106072,1247684652874279407076,122885960933254703151464,12987106624622962667192692,1466014441678589235669027512 %N A377452 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^2. %F A377452 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A367161. %F A377452 a(n) = 2 * Sum_{k=0..n} (3*k+1)!/(2*k+2)! * Stirling2(n,k). %o A377452 (PARI) a(n) = 2*sum(k=0, n, (3*k+1)!/(2*k+2)!*stirling(n, k, 2)); %Y A377452 Cf. A052895, A377453, A377454. %Y A377452 Cf. A367161. %K A377452 nonn %O A377452 0,2 %A A377452 _Seiichi Manyama_, Oct 28 2024