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A050206
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Triangle read by rows: smallest denominator of the expansion of k/n using the greedy algorithm, 1<=k<=n-1.
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4
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2, 3, 2, 4, 2, 2, 5, 3, 2, 2, 6, 3, 2, 2, 2, 7, 4, 3, 2, 2, 2, 8, 4, 3, 2, 2, 2, 2, 9, 5, 3, 3, 2, 2, 2, 2, 10, 5, 4, 3, 2, 2, 2, 2, 2, 11, 6, 4, 3, 3, 2, 2, 2, 2, 2, 12, 6, 4, 3, 3, 2, 2, 2, 2, 2, 2, 13, 7, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 14, 7, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 15, 8, 5, 4, 3, 3, 3, 2
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OFFSET
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2,1
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LINKS
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FORMULA
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T(n,k) = ceiling(n/k).
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EXAMPLE
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n\k | 1 2 3 4 5 6 7 8
----*------------------------
2 | 2;
3 | 3, 2;
4 | 4, 2, 2;
5 | 5, 3, 2, 2;
6 | 6, 3, 2, 2, 2;
7 | 7, 4, 3, 2, 2, 2;
8 | 8, 4, 3, 2, 2, 2, 2;
9 | 9, 5, 3, 3, 2, 2, 2, 2;
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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