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A124532 Row 2 of rectangular table A124530. 7
1, 1, 3, 10, 39, 174, 858, 4564, 25793, 153301, 951325, 6130757, 40861658, 280767621, 1983859580, 14385651988, 106878699675, 812480791324, 6312686006725, 50083418434737, 405430892640225, 3346568909331984 (list; graph; refs; listen; history; text; internal format)
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..21.

FORMULA

G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(2n), where R_n(x) is the g.f. of row n in table A124530.

PROG

(PARI) a(n)=local(R); R=vector(n+3, r, vector(n+3, 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[3][n+1]

CROSSREFS

Cf. A124530 (table); other rows: A124531, A124533, A124534, A124535, A124536.

Sequence in context: A083862 A205543 A137590 * A305560 A074728 A087860

Adjacent sequences:  A124529 A124530 A124531 * A124533 A124534 A124535

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 05 2006

STATUS

approved

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Last modified July 22 07:23 EDT 2019. Contains 325216 sequences. (Running on oeis4.)