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A093466
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Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.
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1
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1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 4, 5, 5, 4, 2, 1, 1, 1, 1, 5, 10, 33, 53, 101, 122, 153, 122, 101, 53, 33, 10, 5, 1, 1, 1, 1, 5, 19, 88, 309, 975, 2537, 5637, 10510, 16740, 22734, 26500, 26500, 22734, 16740, 10510, 5637, 2537, 975, 309, 88, 19, 5, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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EXAMPLE
| [1,1], [1,1,2,1,1], [1,1,2,4,5,5,4,2,1,1] (the last block giving the numbers of 3 X 3 binary matrices with k=0...9 ones, distinct up to the transformations listed above.
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CROSSREFS
| Sequence in context: A201075 A131338 A106498 * A125761 A060990 A154950
Adjacent sequences: A093463 A093464 A093465 * A093467 A093468 A093469
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KEYWORD
| nonn,tabf
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AUTHOR
| Jon Wild (wild(AT)music.mcgill.ca), May 21, 2004
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