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A093466 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. +0
2
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; listen)
OFFSET

1,5

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.

CROSSREFS

Sequence in context: A063746 A131338 A106498 this_sequence A125761 A060990 A056926

Adjacent sequences: A093463 A093464 A093465 this_sequence A093467 A093468 A093469

KEYWORD

nonn,tabf

AUTHOR

Jon Wild (wild(AT)music.mcgill.ca), May 21, 2004

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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