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A261212
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Maximum number of 1's in an fully symmetrical n X n binary matrix with no three 1's adjacent in a line along a row, column or diagonally.
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1
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1, 4, 4, 8, 16, 20, 25, 36, 41, 48, 64, 72, 81, 100, 109, 120, 144, 156, 173, 196, 213, 228, 256, 272, 300, 324, 349, 368, 401, 424, 457, 484
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OFFSET
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1,2
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COMMENTS
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Fully symmetrical refers to the four symmetry axes: horizontal, vertical and two diagonal.
Note that a(3k+2) = 4*(1+k)^2, for k=0,...,8, but a(29) = 401.
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LINKS
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FORMULA
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a(3k+2) >= 4*(k+1)^2.
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EXAMPLE
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For n=4, the matrix is
0 1 0
1 0 1
0 1 0
For n=6, the matrix is
1 1 0 0 1 1
1 0 1 1 0 1
0 1 0 0 1 0
0 1 0 0 1 0
1 0 1 1 0 1
1 1 0 0 1 1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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