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%I #5 Mar 21 2013 13:48:39
%S 1,2,7,32,169,976,5989,38398,254509,1731596,12032874,85092944,
%T 610714311,4439136084,32626373027,242153129074,1813069499846,
%U 13682961621602,104014376985334,796004610604094,6129901459731357,47484532009772272
%N Self-convolution of A107592.
%F G.f. satisfies: A(x) = Sum_{n>=0} x^n * A(x)^((n+1)*(n+2)/4).
%F G.f. A(x) = (1/x)*series-reversion(x/G(x)^2) and thus A(x) = G(x*A(x))^2 where G(x) is the g.f. of A107590.
%e A = A^(1/2) + x*A^(3/2) + x^2*A^(6/2) + x^3*A^(10/2) +...
%e = 1 + 2*x + 7*x^2 + 32*x^3 + 169*x^4 + 976*x^5 + 5989*x^6 +...
%o (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(k=1,n,A=1+sum(j=1,n,x^j*A^((j+1)*(j+2)/2-1)+x*O(x^n)));polcoeff(A^2,n)}
%Y Cf. A107590, A107591, A107592.
%K nonn
%O 0,2
%A _Paul D. Hanna_, May 17 2005
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