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A303940
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Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1-x^(j*(j+k)))/(1-x^j). in powers of x.
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2
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1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 1, 1, 2, 3, 4, 5, 5, 3, 1, 1, 2, 3, 5, 6, 8, 7, 5, 1, 1, 2, 3, 5, 6, 9, 10, 10, 5, 1, 1, 2, 3, 5, 7, 10, 12, 14, 13, 8, 1, 1, 2, 3, 5, 7, 10, 13, 17, 18, 17, 9, 1, 1, 2, 3, 5, 7, 11, 14, 19, 23, 25, 22, 13
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OFFSET
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0,13
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COMMENTS
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A(n,k) is the number of partitions of n into at most 0+k copies of 1, 1+k copies of 2, 2+k copies of 3, ... .
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LINKS
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, 1, 1, 1, ...
0, 1, 1, 1, 1, 1, 1, 1, ...
1, 1, 2, 2, 2, 2, 2, 2, ...
1, 2, 2, 3, 3, 3, 3, 3, ...
1, 3, 4, 4, 5, 5, 5, 5, ...
2, 4, 5, 6, 6, 7, 7, 7, ...
3, 5, 8, 9, 10, 10, 11, 11, ...
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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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