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 A365010 #14 Aug 16 2023 12:03:33 %S A365010 1,1,4,39,596,12365,324714,10329655,386190328,16597810233, %T A365010 806356830230,43700423019011,2613919719004692,171053575111641157, %U A365010 12156558707970920866,932424974682447304815,76772968644326739801584,6754080601542663692950769 %N A365010 E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^3. %F A365010 a(n) = n! * Sum_{k=0..n} (-k)^(n-k) * A001764(k)/(n-k)!. %p A365010 A365010 := proc(n) %p A365010 add( (-k)^(n-k)*A001764(k)/(n-k)!,k=0..n) ; %p A365010 %*n! ; %p A365010 end proc: %p A365010 seq(A365010(n),n=0..80); # _R. J. Mathar_, Aug 16 2023 %o A365010 (PARI) a(n) = n!*sum(k=0, n, (-k)^(n-k)*binomial(3*k, k)/((2*k+1)*(n-k)!)); %Y A365010 Cf. A295239, A302397, A365011. %Y A365010 Cf. A001764, A364983. %K A365010 nonn %O A365010 0,3 %A A365010 _Seiichi Manyama_, Aug 15 2023