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 A386451 #7 Jul 22 2025 09:51:51 %S A386451 1,1,1,1,1,1,121,87361,220324321,1481019998401,22395984195495601, %T A386451 677299352559157967041,37550830682188851813205921, %U A386451 3568906049019293501471580099841,551188987985086896272084982413188201,132418744847944340085178947237195978556801,47718683730343729293790168893699493431209021761 %N A386451 G.f. A(x) satisfies A(x) = 1/(1 - x - x^6*A'''''(x)). %F A386451 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} (24*k - 50*k^2 + 35*k^3 - 10*k^4 + k^5) * a(k) * a(n-1-k). %o A386451 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, sum(k=1, 5, stirling(5, k, 1)*j^k)*v[j+1]*v[i-j])); v; %Y A386451 Cf. A075834, A386448, A386449, A386450. %Y A386451 Cf. A385765. %K A386451 nonn %O A386451 0,7 %A A386451 _Seiichi Manyama_, Jul 22 2025