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A081718
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Array T(m,n) read by antidiagonals, where T(m,n) = number of m X infinity multiplicity integer partition (mip) matrix of n (m >= 0, n >= 0).
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1
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1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 3, 3, 1, 0, 1, 1, 4, 6, 5, 1, 0, 1, 1, 5, 10, 13, 7, 1, 0, 1, 1, 6, 15, 26, 23, 11, 1, 0, 1, 1, 7, 21, 45, 55, 44, 15, 1, 0, 1, 1, 8, 28, 71, 110, 121, 74, 22, 1, 0, 1, 1, 9, 36, 105, 196, 271, 237, 129, 30, 1, 0, 1, 1, 10, 45, 148, 322, 532
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OFFSET
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0,13
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COMMENTS
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For n > 0, the n-th column is given by a polynomial of degree n-1. - David Wasserman, Jun 21 2004
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LINKS
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FORMULA
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There is a recurrence involving the partition function.
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EXAMPLE
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Array begins:
1 1 0 0 0 ...
1 1 1 1 1 ...
1 1 2 3 5 ...
1 1 3 6 13 ...
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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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