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 A377498 #6 Oct 30 2024 08:04:54 %S A377498 1,1,15,472,23109,1544236,131066427,13504084084,1637471184585, %T A377498 228472604080636,36059751069011079,6352095608437311844, %U A377498 1235464848177560948685,262972526121658780180300,60804392657638382942192691,15176441397584819546121452692,4066926719970372629975938096017 %N A377498 E.g.f. satisfies A(x) = 1/(1 - A(x)^3 * (exp(x*A(x)^3) - 1)). %F A377498 a(n) = Sum_{k=0..n} (3*n+4*k)!/(3*n+3*k+1)! * Stirling2(n,k). %o A377498 (PARI) a(n) = sum(k=0, n, (3*n+4*k)!/(3*n+3*k+1)!*stirling(n, k, 2)); %Y A377498 Cf. A000670, A367162, A377495. %K A377498 nonn %O A377498 0,3 %A A377498 _Seiichi Manyama_, Oct 30 2024