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A331318
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Number of nonnegative integer matrices with total sum n, distinct columns with equal sums and any number of distinct nonzero rows in decreasing lexicographic order.
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1
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1, 2, 3, 7, 4, 47, 6, 317, 326, 3730, 13, 78625, 19, 1372944, 824798, 36641157, 39, 1211620030, 55, 41615035330, 9881046310, 1743624029061, 105, 85034153219895, 10679934643, 4476101995508420, 385900622506127, 268621480352669227, 257, 17969848317035340096
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OFFSET
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1,2
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COMMENTS
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The condition that the rows be in decreasing order is equivalent to considering nonequivalent matrices with distinct rows up to permutation of rows.
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LINKS
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FORMULA
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EXAMPLE
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The a(4) = 7 matrices are:
[1 0 0 0] [1 1] [2 1] [2 0] [1 2] [3] [4]
[0 1 0 0] [1 0] [0 1] [0 2] [1 0] [1]
[0 0 1 0] [0 1]
[0 0 0 1]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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