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Search: id:A124544
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| 1, 4, 26, 156, 939, 5764, 36248, 233900, 1549193, 10529052, 73390856, 524300728, 3836318617, 28731858368, 220121136396, 1724083566552, 13798004944813, 112773980097516, 940841899662784, 8008011665402152, 69505777613953576
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OFFSET
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0,2
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COMMENT
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In table A124540, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k*R_k(y)^n ]^n for n>=0.
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FORMULA
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G.f.: A(x) = [ Sum_{n>=0} x^n*R_n(x)^4 ]^4, where R_n(x) is the g.f. of row n in table A124540.
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PROGRAM
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(PARI) {a(n)=local(R); R=vector(n+5, r, vector(n+5, c, 1)); for(i=0, n+4, for(r=0, n+4, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[5])^4+O(x^(n+1)))[n+1]}
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CROSSREFS
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Cf. A124534; A124540 (table); other rows: A124531, A124542, A124543, A124545, A124546.
Sequence in context: A144068 A121767 A092167 this_sequence A145840 A108082 A116429
Adjacent sequences: A124541 A124542 A124543 this_sequence A124545 A124546 A124547
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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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