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Search: id:A124535
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| 1, 1, 6, 36, 216, 961, 5977, 39363, 271564, 1949165, 14487241, 111115804, 877086405, 7109569724, 59075905996, 502464618671, 4369068613929, 38796820526316, 351496911119002, 3246426019892427, 30543990287835441
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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)^(5n), 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+6, r, vector(n+6, 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[6][n+1]}
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CROSSREFS
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Cf. A124530 (table); other rows: A124531, A124532, A124533, A124534, A124536.
Sequence in context: A074436 A036162 A061708 this_sequence A007274 A126634 A007275
Adjacent sequences: A124532 A124533 A124534 this_sequence A124536 A124537 A124538
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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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