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A124465
Row 5 of rectangular table A124460.
8
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
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 03 2006
STATUS
approved