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A203349
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Number of (n+2)X4 binary arrays avoiding patterns 010 and 101 in rows, columns and nw-to-se diagonals
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1
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244, 998, 3716, 14068, 53354, 201506, 761710, 2880986, 10892888, 41189884, 155750096, 588937240, 2226948992, 8420752636, 31841355064, 120401617098, 455274228532, 1721526894432, 6509603831244, 24614743024468, 93075644971226
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OFFSET
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1,1
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COMMENTS
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Column 2 of A203355
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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) = 5*a(n-1) -2*a(n-2) -10*a(n-3) -a(n-4) +3*a(n-5) +6*a(n-6) +9*a(n-7) +47*a(n-8) -54*a(n-9) -107*a(n-10) +152*a(n-11) +159*a(n-12) -177*a(n-13) -118*a(n-14) +227*a(n-15) +122*a(n-16) -174*a(n-17) -189*a(n-18) +47*a(n-19) +159*a(n-20) -20*a(n-21) -151*a(n-22) -92*a(n-23) -18*a(n-24) +20*a(n-25) +22*a(n-26) +9*a(n-27) +a(n-28) -a(n-29) -a(n-30) for n>31
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EXAMPLE
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Some solutions for n=3
..0..1..1..0....0..0..1..1....0..0..0..0....1..1..1..0....0..0..0..0
..0..1..1..0....0..0..0..0....0..0..0..0....1..1..0..0....0..0..0..1
..1..1..1..0....0..0..0..0....0..0..1..1....1..0..0..0....1..1..1..1
..1..1..1..0....1..0..0..0....0..1..1..1....1..0..0..0....1..1..1..1
..0..0..0..1....1..0..0..0....0..1..1..1....1..0..0..0....1..1..1..0
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CROSSREFS
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Sequence in context: A031786 A328206 A135409 * A262092 A178266 A081864
Adjacent sequences: A203346 A203347 A203348 * A203350 A203351 A203352
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Dec 31 2011
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STATUS
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approved
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