A124468 Secondary diagonal of rectangular table A124460.

1, 3, 13, 73, 506, 4117, 37703, 378529, 4106995, 47766886, 592228264, 7791350900, 108323265571, 1585742194947, 24364012940723, 391780319558565, 6577005078357973, 115010285695135090, 2090723838361780991

Offset

0,2

Comments

In table A124460, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * R_k(y)^n for n>=0.

Links

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

Prog

(PARI) {a(n)=local(R=vector(n+2, r, vector(n+1, c, binomial(r+c-2, c-1)))); for(i=0, n+1, for(r=0, n+1, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^r+O(x^(n+2)))))); R[n+2][n+1]}

Crossrefs

Cf. A124460 (table); rows: A124461, A124462, A124463, A124464, A124465, A124466; A124467 (diagonal).

Sequence in context: A367748 A318617 A059294 * A352302 A205572 A128196

Adjacent sequences: A124465 A124466 A124467 * A124469 A124470 A124471

Keyword

nonn

Author

Paul D. Hanna, Nov 03 2006

Status

approved