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A124470 Row sums of the triangle A124469, in which row n equals the inverse binomial transform of column n in the triangle A124460. 1
1, 2, 5, 16, 63, 288, 1461, 8013, 46896, 290916, 1905162, 13131193, 95005565, 719862361, 5700083435, 47075439047, 404760508374, 3617018777976, 33539368302476, 322222320833572, 3202873385842352, 32895350423011349 (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..21.

PROG

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

CROSSREFS

Cf. A124469, A124460.

Sequence in context: A058117 A007124 A112951 * A105072 A022494 A136127

Adjacent sequences:  A124467 A124468 A124469 * A124471 A124472 A124473

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 03 2006

STATUS

approved

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Last modified April 26 12:20 EDT 2019. Contains 322472 sequences. (Running on oeis4.)