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Search: id:A057150
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| A057150 |
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Triangle read by rows: T(k,n) = number of k X k binary matrices with n ones, with no zero rows or columns, up to row and column permutation. |
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+0
3
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| 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 5, 2, 1, 0, 0, 4, 11, 2, 1, 0, 0, 3, 21, 14, 2, 1, 0, 0, 3, 21, 14, 2, 1, 0, 0, 1, 34, 49, 15, 2, 1, 0, 0, 1, 33, 131, 69, 15, 2, 1, 0, 0, 0, 33, 248, 288, 79, 15, 2, 1, 0, 0, 0, 19, 410, 840, 420, 82, 15, 2, 1, 0, 0, 0, 14, 531, 2144, 1744, 497, 83
(list; table; graph; listen)
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OFFSET
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1,9
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COMMENT
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Row sums give A057151.
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EXAMPLE
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[1], [0,1], [0,1,1], [0,1,2,1], [0,0,5,2,1], [0,0,4,11,2,1], ...;
There are 8 square binary matrices with 5 ones, with no zero rows or columns, up to row and column permutation: 5 of size 3 X 3:
[0 0 1] [0 0 1] [0 0 1] [0 0 1] [0 0 1]
[0 0 1] [0 1 0] [0 1 1] [0 1 1] [1 1 0]
[1 1 1] [1 1 1] [1 0 1] [1 1 0] [1 1 0]
2 of size 4 X 4:
[0 0 0 1] [0 0 0 1]
[0 0 0 1] [0 0 1 0]
[0 0 1 0] [0 1 0 0]
[1 1 0 0] [1 0 0 1]
and 1 of size 5 X 5:
[0 0 0 0 1]
[0 0 0 1 0]
[0 0 1 0 0]
[0 1 0 0 0]
[1 0 0 0 0].
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CROSSREFS
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Cf. A056080, A056037, A056079, A057149, A057151, A057152, A049311.
Adjacent sequences: A057147 A057148 A057149 this_sequence A057151 A057152 A057153
Sequence in context: A136129 A034093 A065080 this_sequence A105868 A057275 A057271
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KEYWORD
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nonn,tabl
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 14 2000
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