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Search: id:A124546
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| 1, 6, 57, 470, 3756, 29658, 233241, 1836912, 14543877, 116087596, 936035298, 7636193394, 63106764294, 528842660346, 4497737044197, 38849799300246, 341016182672523, 3043519729680600, 27629723055323671, 255224042883932790
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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)^6 ]^6, 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+7, r, vector(n+7, c, 1)); for(i=0, n+6, for(r=0, n+6, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^(r*c)+O(x^(n+1)))))); Vec(Ser(R[7])^6+O(x^(n+1)))[n+1]}
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CROSSREFS
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Cf. A124535; A124540 (table); other rows: A124531, A124542, A124543, A124544, A124545.
Sequence in context: A053421 A083696 A001593 this_sequence A095900 A138414 A130565
Adjacent sequences: A124543 A124544 A124545 this_sequence A124547 A124548 A124549
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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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