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 A377451 #9 Oct 29 2024 09:07:02 %S A377451 1,1,11,241,8171,377401,22118531,1572752161,131565858491, %T A377451 12661132904521,1378019469008051,167374385250354481, %U A377451 22443998566390975211,3293411316452536046041,524941525063836265071971,90316250360918785641307201,16682672480771981403086626331,3292860351837963891732540729961 %N A377451 E.g.f. satisfies A(x) = 1/(1 - A(x)^4 * (exp(x) - 1)). %F A377451 a(n) = Sum_{k=0..n} (5*k)!/(4*k+1)! * Stirling2(n,k). %o A377451 (PARI) a(n) = sum(k=0, n, (5*k)!/(4*k+1)!*stirling(n, k, 2)); %Y A377451 Cf. A367161, A377450. %Y A377451 Cf. A377454. %K A377451 nonn %O A377451 0,3 %A A377451 _Seiichi Manyama_, Oct 28 2024