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Search: id:A124532
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| 1, 1, 3, 10, 39, 174, 858, 4564, 25793, 153301, 951325, 6130757, 40861658, 280767621, 1983859580, 14385651988, 106878699675, 812480791324, 6312686006725, 50083418434737, 405430892640225, 3346568909331984
(list; graph; listen)
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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)^(2n), 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+3, r, vector(n+3, 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[3][n+1]}
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CROSSREFS
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Cf. A124530 (table); other rows: A124531, A124533, A124534, A124535, A124536.
Adjacent sequences: A124529 A124530 A124531 this_sequence A124533 A124534 A124535
Sequence in context: A063688 A083862 A137590 this_sequence A074728 A087860 A054912
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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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