cp's OEIS Frontend

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.

A120921 G.f. satisfies: A(x) = G(x) * A(x^4*G(x)^9), where G(x) is the g.f. of A001764: G(x) = 1 + x*G(x)^3.

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%I A120921 #3 Mar 30 2012 18:36:58
%S A120921 1,1,3,12,56,283,1503,8262,46591,267984,1565949,9269559,55465035,
%T A120921 334919996,2038268620,12489068727,76980573203,476994419698,
%U A120921 2969444848029,18563305700106,116485903375761,733457500802353
%N A120921 G.f. satisfies: A(x) = G(x) * A(x^4*G(x)^9), where G(x) is the g.f. of A001764: G(x) = 1 + x*G(x)^3.
%C A120921 Self-convolution cube equals A120920, which equals column 0 of triangle A120919 (cascadence of (1+x)^3).
%o A120921 (PARI) {a(n)=local(A=1+x,G=(1/x*serreverse(x/(1+x+x*O(x^n))^3))^(1/3)); for(i=0,n,A=G*subst(A,x,x^4*G^9 +x*O(x^n)));polcoeff(A,n,x)}
%Y A120921 Cf. A120919, A120920, A001764; A001764 (ternary trees).
%K A120921 nonn
%O A120921 0,3
%A A120921 _Paul D. Hanna_, Jul 17 2006