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Search: id:A124543
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| 1, 3, 15, 73, 369, 1959, 10912, 63543, 385341, 2424988, 15788469, 106075089, 733801709, 5217101283, 38060759175, 284533309380, 2177136417042, 17032924895739, 136129119703837, 1110507731328900, 9240322072954209
(list; graph; listen)
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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)^3 ]^3, 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+4, r, vector(n+4, c, 1)); for(i=0, n+3, for(r=0, n+3, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[4])^3+O(x^(n+1)))[n+1]}
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CROSSREFS
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Cf. A124533; A124540 (table); other rows: A124531, A124542, A124544, A124545, A124546.
Adjacent sequences: A124540 A124541 A124542 this_sequence A124544 A124545 A124546
Sequence in context: A123942 A137638 A055837 this_sequence A007142 A063000 A002902
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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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