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A124536
Row 6 of rectangular table A124530.
7
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.
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 05 2006
STATUS
approved