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A202312
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Number of (n+2)X5 binary arrays avoiding patterns 001 and 100 in rows and columns
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1
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1144, 7835, 60362, 482118, 3922195, 32097834, 263496670, 2165338373, 17804391712, 146424450894, 1204339423235, 9906059804694, 81482199760950, 670236253192389, 5513089719967306, 45348496409163712, 373019148392286317
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OFFSET
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1,1
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COMMENTS
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Column 3 of A202317
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 15*a(n-1) -46*a(n-2) -236*a(n-3) +1457*a(n-4) -378*a(n-5) -10889*a(n-6) +15984*a(n-7) +30274*a(n-8) -79303*a(n-9) -15775*a(n-10) +166748*a(n-11) -78659*a(n-12) -154849*a(n-13) +154482*a(n-14) +35466*a(n-15) -100861*a(n-16) +28186*a(n-17) +19289*a(n-18) -12510*a(n-19) +906*a(n-20) +889*a(n-21) -181*a(n-22) -12*a(n-23) +4*a(n-24)
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EXAMPLE
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Some solutions for n=3
..1..1..0..1..1....1..1..1..0..1....0..1..1..1..1....1..1..1..1..0
..1..1..1..1..0....0..1..1..1..0....1..0..1..0..1....1..0..1..1..1
..1..1..1..0..1....1..0..1..1..1....0..1..0..1..0....0..1..1..0..1
..1..1..0..1..1....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
..1..0..1..1..1....0..1..1..0..1....1..1..0..1..0....1..0..1..0..1
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CROSSREFS
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Sequence in context: A116174 A223194 A110731 * A123697 A190924 A196779
Adjacent sequences: A202309 A202310 A202311 * A202313 A202314 A202315
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Dec 16 2011
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STATUS
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approved
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