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 A377453 #10 Oct 29 2024 09:07:08 %S A377453 1,3,33,639,18177,687663,32585793,1858893039,124128928257, %T A377453 9502575055983,820716875385153,78959656742857839,8375163183606235137, %U A377453 971063889443489669103,122194096152956362997313,16586054767142612489229039,2415658529914018225123490817,375779208568915395913102663023 %N A377453 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x) - 1))^3. %F A377453 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377450. %F A377453 a(n) = 3 * Sum_{k=0..n} (4*k+2)!/(3*k+3)! * Stirling2(n,k). %o A377453 (PARI) a(n) = 3*sum(k=0, n, (4*k+2)!/(3*k+3)!*stirling(n, k, 2)); %Y A377453 Cf. A052895, A377452, A377454. %Y A377453 Cf. A377450. %K A377453 nonn %O A377453 0,2 %A A377453 _Seiichi Manyama_, Oct 28 2024