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A124467
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Main diagonal of rectangular table A124460.
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2
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1, 2, 8, 44, 302, 2437, 22143, 220663, 2377322, 27462836, 338270681, 4422338285, 61114545578, 889542935517, 13593252066134, 217461100417945, 3632859088845390, 63233532604594586, 1144455373221119025
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| In table A124460, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * R_k(y)^n for n>=0.
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PROG
| (PARI) {a(n)=local(R=vector(n+1, r, vector(n+1, c, binomial(r+c-2, c-1)))); for(i=0, n, for(r=0, n, R[r+1]=Vec(sum(c=0, n, x^c*Ser(R[c+1])^r+O(x^(n+1)))))); R[n+1][n+1]}
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CROSSREFS
| Cf. A124460 (table); rows: A124461, A124462, A124463, A124464, A124465, A124466; A124468 (diagonal).
Sequence in context: A111537 A051045 A112912 * A075792 A052897 A137984
Adjacent sequences: A124464 A124465 A124466 * A124468 A124469 A124470
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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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