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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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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums give A047937.
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EXAMPLE
| [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
| Cf. A054252.
Sequence in context: A196017 A054252 A007442 * A085384 A067856 A160467
Adjacent sequences: A054769 A054770 A054771 * A054773 A054774 A054775
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KEYWORD
| nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), May 18 2000
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