OFFSET
0,3
COMMENTS
In table A124540, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k*R_k(y)^n ]^n for n>=0.
PROG
(PARI) a(n)=local(R); R=vector(n+1, r, vector(n+1, c, if(r==1 || c<=2, 1, r^(c-2)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[n+1])^n+O(x^(n+1)))[n+1]
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 05 2006
STATUS
approved