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A124537
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Main diagonal of rectangular table A124530.
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1
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1, 1, 3, 16, 113, 961, 9430, 104028, 1267833, 16866694, 242836861, 3758663745, 62200007243, 1095222618881, 20433071584276, 402407118276836, 8338150233939377, 181250019817152061, 4122472220802095509
(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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PROG
| (PARI) {a(n)=local(R); R=vector(n+1, r, vector(n+1, 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[n+1][n+1]}
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CROSSREFS
| Cf. A124530 (table).
Sequence in context: A002404 A097142 A005419 * A074523 A042437 A159606
Adjacent sequences: A124534 A124535 A124536 * A124538 A124539 A124540
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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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