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 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. 2

%I

%S 1,2,3,8,17,36,85,184,405,898,1962,4296,9371,20376,44244,95844,207217,

%T 447264,963835,2073900,4456374,9563620,20499344,43891176,93877423,

%U 200594560,428231448,913400192,1946652868,4145533218,8821743618

%N 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 Self-convolution of A132332.

%o (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 Cf. A132332; A132335 (variant).

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 20 2007

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Last modified March 18 12:10 EDT 2019. Contains 321283 sequences. (Running on oeis4.)