A124536 Row 6 of rectangular table A124530.

1, 1, 7, 49, 343, 2401, 9430, 65810, 480077, 3637345, 28502254, 230271472, 1913354190, 16318251874, 142611810220, 1275372111383, 11657396456231, 108792892306605, 1035708759921763, 10049835806235885, 99321845447658052

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..20.

Formula

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(6n), where R_n(x) is the g.f. of row n in table A124530.

Prog

(PARI) a(n)=local(R); R=vector(n+7, r, vector(n+7, 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[7][n+1]

Crossrefs

Cf. A124530 (table); other rows: A124531, A124532, A124533, A124534, A124535.

Sequence in context: A045584 A228439 A216130 * A045578 A126627 A206453

Adjacent sequences: A124533 A124534 A124535 * A124537 A124538 A124539

Keyword

nonn

Author

Paul D. Hanna, Nov 05 2006

Status

approved