A124465 Row 5 of rectangular table A124460.

1, 6, 26, 111, 506, 2437, 12118, 61499, 317485, 1666371, 8891543, 48221602, 265708512, 1486905853, 8446728295, 48690214869, 284692228671, 1687855348715, 10143257898587, 61768997909283, 381059689323080, 2380852983417944

Offset

0,2

Links

Table of n, a(n) for n=0..21.

Formula

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^5, 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, 5), 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[6][n+1]}

Crossrefs

Cf. A124460 (table); other rows: A124461, A124462, A124463, A124464, A124466.

Sequence in context: A255467 A145374 A289789 * A287806 A164549 A283341

Adjacent sequences: A124462 A124463 A124464 * A124466 A124467 A124468

Keyword

nonn

Author

Paul D. Hanna, Nov 03 2006

Status

approved