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%I #5 Mar 30 2012 18:37:34
%S 1,1,5,27,177,1245,9399,73659,595510,4923724,41451675,354071010,
%T 3061018302,26732084764,235476740731,2089770720125,18666863392846,
%U 167697751329817,1514206777182411,13734387733516323,125083419013852945,1143367086845429280
%N G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n*A(x^n)^3).
%e G.f.: A(x) = 1 + x + 5*x^2 + 27*x^3 + 177*x^4 + 1245*x^5 +...
%e where
%e A(x) = 1/((1 - x*A(x)^3) * (1 - x^2*A(x^2)^3) * (1 - x^3*A(x^3)^3) *...).
%o (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1/prod(k=1, n, (1-x^k*subst(A, x, x^k+x*O(x^n))^3))); polcoeff(A, n)}
%Y Cf. A050383, A196192, A205775, A196191.
%K nonn
%O 0,3
%A _Paul D. Hanna_, Jan 31 2012
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