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A364505
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T(n, k) = number of k-dimensional faces in the BME polytope on n species, 0 <= k <= binomial(n, 2) - n.
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1
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3, 3, 1, 15, 105, 250, 210, 52, 1, 105, 5460, 105945, 635265, 1715455, 2373345, 1742445, 640140, 90262, 1
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OFFSET
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4,1
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COMMENTS
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The balanced minimum evolution (BME) polytope of order n is the convex hull of the BME vectors of all phylogenetic trees on n species. The BME polytope of order n has dimension binomial(n, 2) - n.
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LINKS
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EXAMPLE
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Table begins:
3, 3, 1;
15, 105, 250, 210, 52, 1;
105, 5460, 105945, 635265, 1715455, 2373345, 1742445, 640140, 90262, 1;
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CROSSREFS
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Next-to-last entry T(n, binomial(n, 2) - n - 1) in each row is A364441.
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KEYWORD
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nonn,tabf,more
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AUTHOR
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STATUS
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approved
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