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%I #5 Mar 12 2015 19:19:00
%S 1,1,-4,23,-150,1054,-7761,58998,-459085,3636389,-29209558,237295537,
%T -1945823646,16081045446,-133787515943,1119454523221,-9413778489629,
%U 79510460561765,-674169212593940,5736078315701995,-48956250060321142,419002149097227663
%N G.f. A(x) satisfies: A(x)^9 = A(x^3)^3 + 9*x.
%C Self-convolution cube is A107090. Self-convolution 9th power is A107091.
%e A(x)^9 = 1 + 9*x + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%e A(x^3)^3 = 1 + 3*x^3 - 9*x^6 + 46*x^9 - 276*x^12 + 1827*x^15 -+...
%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=(subst(A^3,x,x^3)+9*x+x*O(x^n))^(1/9)); polcoeff(A^1,n,x)}
%Y Cf. A107090, A107091.
%K sign
%O 0,3
%A _Paul D. Hanna_, May 11 2005
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