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Search: id:A054772
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| A054772 |
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Triangle T(n,k) of n X n binary matrices with k=0..n^2 ones, up to rotational symmetry. |
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1
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| 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 10, 22, 34, 34, 22, 10, 3, 1, 1, 4, 32, 140, 464, 1092, 2016, 2860, 3238, 2860, 2016, 1092, 464, 140, 32, 4, 1, 1, 7, 78, 578, 3182, 13302, 44330, 120230, 270525, 510875, 817388, 1114548, 1300316, 1300316, 1114548, 817388
(list; graph; listen)
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OFFSET
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0,6
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COMMENT
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Row sums give A047937.
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EXAMPLE
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[1],[1,1],[1,1,2,1,1],[1,3,10,22,34,34,22,10,3,1],...;
There are 10 inequivalent 3 X 3 binary matrices with 2 ones, up to rotational symmetry:
[0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 1]
[0 0 0] [0 0 0] [0 0 0] [0 0 1] [0 0 1] [0 1 0] [0 1 0] [1 0 0] [1 0 1] [0 0 0]
[0 1 1] [1 0 1] [1 1 0] [0 1 0] [1 0 0] [0 0 1] [0 1 0] [0 0 1] [0 0 0] [1 0 0].
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CROSSREFS
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Cf. A054252.
Sequence in context: A112707 A054252 A007442 this_sequence A085384 A067856 A122374
Adjacent sequences: A054769 A054770 A054771 this_sequence A054773 A054774 A054775
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), May 18 2000
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