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A124468 Secondary diagonal of rectangular table A124460. 2
1, 3, 13, 73, 506, 4117, 37703, 378529, 4106995, 47766886, 592228264, 7791350900, 108323265571, 1585742194947, 24364012940723, 391780319558565, 6577005078357973, 115010285695135090, 2090723838361780991 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In table A124460, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * R_k(y)^n for n>=0.

LINKS

Table of n, a(n) for n=0..18.

PROG

(PARI) {a(n)=local(R=vector(n+2, r, vector(n+1, c, binomial(r+c-2, c-1)))); for(i=0, n+1, for(r=0, n+1, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^r+O(x^(n+2)))))); R[n+2][n+1]}

CROSSREFS

Cf. A124460 (table); rows: A124461, A124462, A124463, A124464, A124465, A124466; A124467 (diagonal).

Sequence in context: A000262 A318617 A059294 * A205572 A128196 A162161

Adjacent sequences:  A124465 A124466 A124467 * A124469 A124470 A124471

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 03 2006

STATUS

approved

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Last modified April 25 18:12 EDT 2019. Contains 322461 sequences. (Running on oeis4.)