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A124531
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Row 1 of rectangular table A124530.
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13
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1, 1, 2, 5, 16, 62, 274, 1332, 6978, 38873, 228090, 1399625, 8933506, 59066261, 403241292, 2835267821, 20490128048, 151951503074, 1154770194362, 8983396031267, 71473650532630, 581142591346325, 4825842125683150
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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
| G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^n, where R_n(x) is the g.f. of row n in table A124530.
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PROG
| (PARI) {a(n)=local(R); R=vector(n+2, r, vector(n+2, 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[2][n+1]}
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CROSSREFS
| Cf. A124530 (table); other rows: A124532, A124533, A124534, A124535, A124536.
Sequence in context: A007976 A058259 A033543 * A129578 A005387 A173469
Adjacent sequences: A124528 A124529 A124530 * A124532 A124533 A124534
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 05 2006
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