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%I #2 Apr 30 2014 01:37:36
%S 1,1,2,5,14,43,142,495,1794,6683,25388,97852,381406,1500317,5947798,
%T 23739795,95326150,384845581,1561220986,6361205709,26021379044,
%U 106826116871,439987835410,1817594141822,7529012424286,31265738342993
%N Expansion of solution of functional equation.
%F Given g.f. A(x), then series reversion of B(x)=x*A(x^3) is -B(-x).
%F Given g.f. A(x), then y=x*A(x^3) satisfies y=x+(xy)^2/(1-(xy)^6).
%o (PARI) {a(n)=local(A); if(n<0, 0, A=x+O(x^4); for(k=1,n, A=x+subst(x^2/(1-x^6),x,x*A)); polcoeff(A,3*n+1))}
%K nonn
%O 0,3
%A _Michael Somos_, Sep 20 2005
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