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 A363443 #15 Jun 03 2023 09:01:54 %S A363443 1,4,16,128,864,6912,55936,470016,4025600,35144704,311190784, %T A363443 2789206016,25254028288,230652174336,2122466561024,19659305379840, %U A363443 183146187440128,1714933158969344,16131631511164928,152366562180972544 %N A363443 G.f. satisfies A(x) = exp( Sum_{k>=1} (-1)^(k+1) * A(x^k) * (4*x)^k/k ). %H A363443 Seiichi Manyama, <a href="/A363443/b363443.txt">Table of n, a(n) for n = 0..996</a> %F A363443 A(x) = Sum_{k>=0} a(k) * x^k = Product_{k>=0} (1+4*x^(k+1))^a(k). %F A363443 a(0) = 1; a(n) = (-1/n) * Sum_{k=1..n} ( Sum_{d|k} d * (-4)^(k/d) * a(d-1) ) * a(n-k). %o A363443 (PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, (-1)^(k+1)*subst(A, x, x^k)*(4*x)^k/k)+x*O(x^n))); Vec(A); %Y A363443 Cf. A004111, A363441, A363442. %Y A363443 Cf. A363427, A363440. %K A363443 nonn %O A363443 0,2 %A A363443 _Seiichi Manyama_, Jun 02 2023