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| A340814
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Array read by antidiagonals: T(n,k) is the number of unlabeled oriented edge-rooted k-gonal 2-trees with n oriented polygons, n >= 0, k >= 2.
(history;
published version)
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#12 by Alois P. Heinz at Wed Feb 03 21:54:06 EST 2021
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#11 by Andrew Howroyd at Wed Feb 03 21:34:29 EST 2021
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#10 by Andrew Howroyd at Wed Feb 03 21:33:55 EST 2021
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| NAME
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Array read by antidiagonals: T(n,k) is the number of unlabeled oriented edge-rooted k-gonal 2-trees with n oriented polygons, n >= 0, k >= 2.
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| LINKS
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Andrew Howroyd, <a href="/A340814/b340814.txt">Table of n, a(n) for n = 0..1325</a>
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| STATUS
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approved
editing
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#9 by Susanna Cuyler at Tue Feb 02 18:24:11 EST 2021
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#8 by Hugo Pfoertner at Tue Feb 02 15:55:02 EST 2021
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#7 by Andrew Howroyd at Tue Feb 02 15:54:07 EST 2021
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#6 by Andrew Howroyd at Tue Feb 02 15:54:02 EST 2021
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| LINKS
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G. Labelle, C. Lamathe and P. Leroux, <a href="http://arXiv.org/abs/math.CO/0312424">Labeled and unlabeled enumeration of k-gonal 2-trees</a>>, arXiv:math/0312424 [math.CO], Dec 23 2003.
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| STATUS
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proposed
editing
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#5 by Andrew Howroyd at Tue Feb 02 15:25:31 EST 2021
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#4 by Andrew Howroyd at Tue Feb 02 15:20:49 EST 2021
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| FORMULA
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G.f. of column k: A(x) satisfies A(x) = 1 + x*exp(Sum_{i>0} x^i*A(x^i)^(k-1)/i).
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#3 by Andrew Howroyd at Tue Feb 02 15:18:31 EST 2021
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| FORMULA
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G.f. of column k: A(x) satisfies A(x) = 1 + x*exp(Sum_{i>0} x^i*A(x^i)^(k-1)/i).
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