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 A385832 #8 Jul 10 2025 11:00:45 %S A385832 1,1,3,56,4705,1218747,765389596,994245193386,2390167881074445, %T A385832 9797301213263859467,64309492440202351088387, %U A385832 643287882516349276270085850,9420307945482704895570131173916,195367768417628005309741727943311572,5580484965405704420901774303244279908840 %N A385832 a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k^4) * a(k) * a(n-1-k). %F A385832 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) - x*Sum_{k=1..4} Stirling2(4,k) * x^k * (d^k/dx^k A(x)) ). %o A385832 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (1+j^4)*v[j+1]*v[i-j])); v; %Y A385832 Cf. A088716, A385830, A385831, A385833, A385834. %Y A385832 Cf. A385764. %K A385832 nonn %O A385832 0,3 %A A385832 _Seiichi Manyama_, Jul 09 2025