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

0,3

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.

Links

Table of n, a(n) for n=0..18.

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

Crossrefs

Cf. A124530 (table).

Sequence in context: A039751 A005419 A332024 * A355720 A305133 A368510

Adjacent sequences: A124534 A124535 A124536 * A124538 A124539 A124540

Keyword

nonn

Author

Paul D. Hanna, Nov 05 2006

Status

approved