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Search: id:A124468
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| 1, 3, 13, 73, 506, 4117, 37703, 378529, 4106995, 47766886, 592228264, 7791350900, 108323265571, 1585742194947, 24364012940723, 391780319558565, 6577005078357973, 115010285695135090, 2090723838361780991
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OFFSET
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0,2
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COMMENT
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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.
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PROGRAM
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(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]}
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CROSSREFS
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Cf. A124460 (table); rows: A124461, A124462, A124463, A124464, A124465, A124466; A124467 (diagonal).
Sequence in context: A132846 A000262 A059294 this_sequence A128196 A162161 A119013
Adjacent sequences: A124465 A124466 A124467 this_sequence A124469 A124470 A124471
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 03 2006
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