A124466 Row 6 of rectangular table A124460.

1, 7, 34, 159, 788, 4117, 22143, 121079, 670811, 3764758, 21408813, 123367344, 720303998, 4260491461, 25523584313, 154835572102, 950950450917, 5911757419002, 37193168793829, 236764641742504, 1524754216743136

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^6, where R_n(x) is the g.f. of row n in table A124460 and satisfies: R_n(x) = Sum_{k>=0} x^k * R_k(x)^n for n>=0.

Prog

(PARI) {a(n)=local(m=max(n, 6), R=vector(m+1, r, vector(m+1, c, binomial(r+c-2, c-1)))); for(i=0, m, for(r=0, m, R[r+1]=Vec(sum(c=0, m, x^c*Ser(R[c+1])^r+O(x^(m+1)))))); R[7][n+1]}

Crossrefs

Cf. A124460 (table); other rows: A124461, A124462, A124463, A124464, A124465.

Sequence in context: A213119 A099242 A032206 * A055271 A209890 A027209

Adjacent sequences: A124463 A124464 A124465 * A124467 A124468 A124469

Keyword

nonn

Author

Paul D. Hanna, Nov 03 2006

Status

approved