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A189337
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Number of nX3 binary arrays without the pattern 1 0 0 1 diagonally, vertically, antidiagonally or horizontally
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2
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8, 64, 512, 3375, 21952, 140608, 912673, 5929741, 38614472, 251239591, 1634691752, 10633486599, 69173457625, 449983383247, 2927275422625, 19042718961664, 123878371625000, 805862864751112, 5242361459792813, 34103003909455872
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OFFSET
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1,1
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COMMENTS
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Column 3 of A189343
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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) = 7*a(n-1) -41*a(n-3) +130*a(n-4) +81*a(n-6) -369*a(n-7) -73*a(n-8) -173*a(n-9) +243*a(n-10) +211*a(n-11) -77*a(n-12) +117*a(n-13) +81*a(n-14) +20*a(n-16) +13*a(n-17) +a(n-19) +a(n-20)
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EXAMPLE
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Some solutions for 4X3
..0..1..0....0..0..0....0..0..1....0..0..0....1..1..1....1..0..1....1..1..0
..0..1..1....1..1..1....1..1..0....0..0..0....1..0..1....0..1..1....1..1..1
..0..1..1....0..0..1....0..1..0....0..0..0....1..1..0....1..0..1....0..1..1
..1..1..1....0..0..0....1..0..0....0..1..0....0..1..1....0..0..1....1..1..1
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CROSSREFS
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A049864(n+2) cubed
Sequence in context: A228739 A267730 A189155 * A262335 A221664 A228981
Adjacent sequences: A189334 A189335 A189336 * A189338 A189339 A189340
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Apr 20 2011
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STATUS
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approved
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