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A188558
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Number of 7Xn binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally
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1
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8, 15, 28, 52, 96, 176, 320, 576, 1024, 1793, 3084, 5200, 8584, 13866, 21920, 33932, 51480, 76627, 112028, 161052, 227920, 317860, 437280, 593960, 797264, 1058373, 1390540, 1809368, 2333112, 2983006, 3783616, 4763220, 5954216, 7393559, 9123228
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OFFSET
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1,1
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COMMENTS
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Row 7 of A188553
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n) = (1/5040)*n^7 - (1/360)*n^6 + (11/360)*n^5 - (1/9)*n^4 + (427/720)*n^3 + (41/360)*n^2 + (709/210)*n + 4
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EXAMPLE
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Some solutions for 7X3
..1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1
..1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1
..1..1..1....1..1..0....1..1..1....1..1..1....1..1..1....1..1..1....1..1..1
..1..1..1....1..0..0....1..1..1....1..1..1....1..1..0....1..1..1....1..1..1
..1..1..1....0..0..0....1..1..0....1..1..1....0..0..0....1..1..1....1..1..1
..1..1..1....0..0..0....1..0..0....1..0..0....0..0..0....1..1..1....1..1..0
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....1..0..0....1..0..0
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CROSSREFS
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Sequence in context: A169875 A031125 A132298 * A123526 A083686 A089954
Adjacent sequences: A188555 A188556 A188557 * A188559 A188560 A188561
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Apr 04 2011
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STATUS
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approved
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