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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
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.
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: A367748 A318617 A059294 * A352302 A205572 A128196
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Nov 03 2006
STATUS
approved