A124537 Main diagonal of rectangular table A124530.

1, 1, 3, 16, 113, 961, 9430, 104028, 1267833, 16866694, 242836861, 3758663745, 62200007243, 1095222618881, 20433071584276, 402407118276836, 8338150233939377, 181250019817152061, 4122472220802095509

Offset: 0

Author

Paul D. Hanna, Nov 05 2006

Keywords

• nonn

Comments

In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.

Crossrefs

Cf. A124530 (table).

Programs

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)))))); R[n+1][n+1]