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%I #8 Jun 07 2021 13:43:25
%S 1,2,10,50,290,1766,11442,76522,526574,3697722,26403186,191072922,
%T 1398344838,10330855286,76945148882,577135722754,4355579825058,
%U 33050011129198,251996066644866,1929712025078322,14834772898730766,114445491235869774
%N G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - 2*x^n*A(x^n)).
%e G.f.: A(x) = 1 + 2*x + 10*x^2 + 50*x^3 + 290*x^4 + 1766*x^5 +...,
%e where A(x) = 1/((1 - 2*x*A(x)) * (1 - 2*x^2*A(x^2)) * (1 - 2*x^3*A(x^3)) * ...).
%o (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1/prod(k=1, n, (1-2*x^k*subst(A, x, x^k+x*O(x^n))))); polcoeff(A, n)}
%Y Cf. A050383, A196192, A205773.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jan 31 2012
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