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A274109
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Triangle read by rows: T(n,k) = number of partitions of n into exactly k parts with exactly two different sizes, the sizes being relatively prime (n >= 3, 2 <= k <= n-1).
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2
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1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 2, 3, 2, 2, 1, 2, 2, 4, 1, 3, 2, 2, 1, 5, 5, 3, 4, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 6, 6, 4, 5, 2, 4, 2, 3, 2, 2, 1, 3, 3, 5, 3, 4, 1, 4, 2, 3, 2, 2, 1, 4, 4, 3, 3, 4, 4, 2, 4, 2, 3, 2, 2, 1, 4, 4, 5, 3, 4, 3, 3, 2, 4, 2, 3, 2, 2, 1, 8, 8, 5, 7, 3, 5, 3, 4, 2, 4, 2, 3, 2, 2, 1, 3, 3, 5, 2, 5, 2, 4, 2, 4, 2, 4, 2, 3, 2, 2, 1, 9, 9, 6, 7, 3, 7, 3, 4, 3, 4, 2, 4, 2, 3, 2, 2, 1
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OFFSET
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3,4
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LINKS
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EXAMPLE
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Triangle T(n,k) (with columns n >= 3 and k >= 2) begins as follows:
1;
1, 1;
2, 2, 1;
1, 1, 2, 1;
3, 3, 2, 2, 1;
2, 2, 2, 2, 2, 1;
3, 3, 2, 3, 2, 2, 1;
2, 2, 4, 1, 3, 2, 2, 1;
5, 5, 3, 4, 2, 3, 2, 2, 1;
2, 2, 2, 2, 3, 2, 3, 2, 2, 1;
6, 6, 4, 5, 2, 4, 2, 3, 2, 2, 1;
3, 3, 5, 3, 4, 1, 4, 2, 3, 2, 2, 1;
4, 4, 3, 3, 4, 4, 2, 4, 2, 3, 2, 2, 1;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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