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Search: id:A057149
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| A057149 |
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Triangle T(n,k) of n X n binary matrices with k ones, with no zero rows or columns, up to row and column permutation. |
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+0
4
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| 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 5, 4, 3, 1, 1, 0, 0, 0, 0, 1, 2, 11, 21, 34, 33, 33, 19, 14, 6, 3, 1, 1, 0, 0, 0, 0, 0, 1, 2, 14, 49, 131, 248, 410, 531, 601, 566, 474, 336, 222, 124, 67, 32, 16, 6, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 15, 69, 288, 840, 2144, 4488, 8317, 13160
(list; graph; listen)
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OFFSET
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1,12
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COMMENT
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Row sums give A054976.
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EXAMPLE
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[0,1], [0,0,1,1,1], [0,0,0,1,2,5,4,3,1,1],...;
T(4,6)=11, i.e. there are 11 4 X 4 binary matrices with 6 ones, with no zero rows or columns, up to row and column permutation:
[0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1]
[0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 1 0]
[0 0 0 1] [0 0 1 0] [0 0 1 0] [0 0 1 1] [0 1 1 0] [0 0 1 1]
[1 1 1 0] [1 1 0 1] [1 1 1 0] [1 1 0 0] [1 0 1 0] [1 1 0 0]
and
[0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1] [0 0 0 1]
[0 0 1 0] [0 0 1 0] [0 0 1 0] [0 0 1 0] [0 0 1 0]
[0 1 0 0] [0 1 0 1] [0 1 0 1] [0 1 0 1] [1 1 0 0]
[1 0 1 1] [1 0 0 1] [1 0 1 0] [1 1 0 0] [1 1 0 0].
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CROSSREFS
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Cf. A056080, A056037, A056079, A057150-A057152, A049311.
Sequence in context: A049060 A092462 A160826 this_sequence A087499 A100046 A025504
Adjacent sequences: A057146 A057147 A057148 this_sequence A057150 A057151 A057152
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KEYWORD
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nonn,tabf
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 14 2000
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