cp's OEIS Frontend

A132333 G.f.: A(x) = (A_1)^2 where A_1 = 1/[1 - x*(A_2)^2], A_2 = 1/[1 - x^2*(A_3)^2], A_3 = 1/[1 - x^3*(A_4)^2], ... A_n = 1/[1 - x^n*(A_{n+1})^2] for n>=1.

%I A132333 #2 Mar 30 2012 18:37:04
%S A132333 1,2,3,8,17,36,85,184,405,898,1962,4296,9371,20376,44244,95844,207217,
%T A132333 447264,963835,2073900,4456374,9563620,20499344,43891176,93877423,
%U A132333 200594560,428231448,913400192,1946652868,4145533218,8821743618
%N A132333 G.f.: A(x) = (A_1)^2 where A_1 = 1/[1 - x*(A_2)^2], A_2 = 1/[1 - x^2*(A_3)^2], A_3 = 1/[1 - x^3*(A_4)^2], ... A_n = 1/[1 - x^n*(A_{n+1})^2] for n>=1.
%C A132333 Self-convolution of A132332.
%o A132333 (PARI) {a(n)=local(A=1+x*O(x^n)); for(j=0, n-1, A=1/(1-x^(n-j)*A^2 +x*O(x^n))); polcoeff(A^2, n)}
%Y A132333 Cf. A132332; A132335 (variant).
%K A132333 nonn
%O A132333 0,2
%A A132333 _Paul D. Hanna_, Aug 20 2007