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A141348
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Number of extreme n-breakable vectors.
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2
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1, 2, 3, 6, 8, 16, 22, 37, 53, 92, 110, 201, 260, 376, 519, 831, 963, 1592, 1837, 2692, 3593, 5298, 5693, 8921, 11044, 14664, 17689, 26479, 27298, 43387
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OFFSET
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3,2
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COMMENTS
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An n-breakable vector is a vector v=(v(1),v(2),...,v(n-2)) such that each v(i) is a nonnegative integer and SUM i*v(i) == 1 (mod n-1).
Extreme n-breakable vectors form the set of n-breakable vectors such that every n-breakable vector component-wise dominates some vector from this set, but no two distinct vectors from this set dominate one another.
Number of vectors from the Hilbert basis in A141347 with the first coordinate equal 1.
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LINKS
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EXAMPLE
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The set of extreme 6-breakable vectors is { (1,0,0,0), (0,0,2,0), (0,1,0,1), (0,0,1,2), (0,3,0,0), (0,0,0,4) }.
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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