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 A377691 #12 Nov 04 2024 09:08:35 %S A377691 1,0,6,9,312,1530,47952,468720,15273696,238738752,8404102080, %T A377691 185234979600,7145001364608,204957002147040,8705298805015680, %U A377691 307822476591957600,14400927608439260160,604208707715034777600,31065769175985079142400,1504405685073556864627200 %N A377691 E.g.f. satisfies A(x) = (1 - x * log(1 - x) * A(x))^3. %F A377691 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A371141. %F A377691 a(n) = 3 * n! * Sum_{k=0..floor(n/2)} (3*k+2)! * |Stirling1(n-k,k)|/( (n-k)! * (2*k+3)! ). %o A377691 (PARI) a(n) = 3*n!*sum(k=0, n\2, (3*k+2)!*abs(stirling(n-k, k, 1))/((n-k)!*(2*k+3)!)); %Y A377691 Cf. A052830, A377438. %Y A377691 Cf. A371141. %K A377691 nonn %O A377691 0,3 %A A377691 _Seiichi Manyama_, Nov 04 2024