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A124466
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Row 6 of rectangular table A124460.
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8
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1, 7, 34, 159, 788, 4117, 22143, 121079, 670811, 3764758, 21408813, 123367344, 720303998, 4260491461, 25523584313, 154835572102, 950950450917, 5911757419002, 37193168793829, 236764641742504, 1524754216743136
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: A(x) = Sum_{n>=0} x^n*R_n(x)^6, where R_n(x) is the g.f. of row n in table A124460 and satisfies: R_n(x) = Sum_{k>=0} x^k * R_k(x)^n for n>=0.
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PROG
| (PARI) {a(n)=local(m=max(n, 6), R=vector(m+1, r, vector(m+1, c, binomial(r+c-2, c-1)))); for(i=0, m, for(r=0, m, R[r+1]=Vec(sum(c=0, m, x^c*Ser(R[c+1])^r+O(x^(m+1)))))); R[7][n+1]}
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CROSSREFS
| Cf. A124460 (table); other rows: A124461, A124462, A124463, A124464, A124465.
Sequence in context: A080960 A099242 A032206 * A055271 A027209 A080048
Adjacent sequences: A124463 A124464 A124465 * A124467 A124468 A124469
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 03 2006
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