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Search: id:A124542
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| 1, 2, 7, 26, 107, 486, 2398, 12668, 70863, 416304, 2552490, 16254406, 107095090, 727834866, 5089682472, 36548625188, 269065010063, 2027942075946, 15630423416331, 123079853443384, 989356860469923, 8112792202324232
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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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PROGRAM
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(PARI) {a(n)=local(R); R=vector(n+3, r, vector(n+3, c, 1)); for(i=0, n+2, for(r=0, n+2, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[3])^2+O(x^(n+1)))[n+1]}
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CROSSREFS
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Cf. A124532; A124540 (table); other rows: A124531, A124543, A124544, A124545, A124546.
Sequence in context: A102319 A006603 A080244 this_sequence A003447 A093638 A001862
Adjacent sequences: A124539 A124540 A124541 this_sequence A124543 A124544 A124545
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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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