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Search: id:A124533
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| 1, 1, 4, 16, 71, 351, 1891, 10888, 66139, 420235, 2775981, 18978873, 133828922, 970678790, 7226115267, 55115404005, 430080085093, 3429311454089, 27912555377062, 231710034354364, 1960247357996533, 16889105788701591
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OFFSET
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0,3
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COMMENT
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In table A124530, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k*R_k(y)^(n*k) for n>=0.
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FORMULA
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G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^(3n), where R_n(x) is the g.f. of row n in table A124530.
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PROGRAM
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(PARI) {a(n)=local(R); R=vector(n+4, r, vector(n+4, c, if(r==1|c<=2, 1, r^(c-2)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); R[4][n+1]}
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CROSSREFS
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Cf. A124530 (table); other rows: A124531, A124532, A124534, A124535, A124536.
Sequence in context: A144316 A133789 A091354 this_sequence A013991 A129872 A059371
Adjacent sequences: A124530 A124531 A124532 this_sequence A124534 A124535 A124536
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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 05 2006
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