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Search: id:A124463
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| 1, 4, 13, 44, 162, 637, 2622, 11188, 49293, 223768, 1044661, 5006126, 24580704, 123464593, 633467893, 3315948760, 17690431736, 96101620364, 531196784996, 2985589206506, 17053375055317, 98942675518256, 582858713958087
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OFFSET
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0,2
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FORMULA
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G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^3, where R_n(x) is the g.f. of row n in table A124460 and satisfies: R_n(x) = Sum_{k>=0} x^k * R_k(x)^n for n>=0.
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PROGRAM
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(PARI) {a(n)=local(m=max(n, 3), R=vector(m+1, r, vector(m+1, c, binomial(r+c-2, c-1)))); for(i=0, m, for(r=0, m, R[r+1]=Vec(sum(c=0, m, x^c*Ser(R[c+1])^r+O(x^(m+1)))))); R[4][n+1]}
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CROSSREFS
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Cf. A124460 (table); other rows: A124461, A124462, A124464, A124465, A124466.
Sequence in context: A149428 A149429 A149430 this_sequence A081197 A005490 A035356
Adjacent sequences: A124460 A124461 A124462 this_sequence A124464 A124465 A124466
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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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