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Search: id:A124461
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| 1, 2, 4, 9, 23, 66, 210, 731, 2744, 10959, 46058, 202028, 919386, 4321837, 20916763, 103958935, 529512396, 2759340117, 14690668955, 79813438230, 442057104246, 2493917931493, 14320972817368, 83652035642564, 496769855224824
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OFFSET
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0,2
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COMMENT
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In table A124460, the o.g.f. of row n, R_n(y), satisfies: R_n(y) = Sum_{k>=0} y^k * R_k(y)^n for n>=0.
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FORMULA
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O.g.f.: A(x) = Sum_{n>=0} x^n*R_n(x) = Sum_{k>=0} x^k/(1 - x*R_k(x)), where R_n(x) is the o.g.f. of row n in table A124460.
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PROGRAM
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(PARI) {a(n)=local(m=max(n, 1), 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[2][n+1]}
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CROSSREFS
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Cf. A124460 (table); other rows: A124462, A124463, A124464, A124465, A124466.
Sequence in context: A007476 A129698 A117419 this_sequence A026898 A088930 A089844
Adjacent sequences: A124458 A124459 A124460 this_sequence A124462 A124463 A124464
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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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