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A253697
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Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically
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1
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4456, 1984, 1608, 1790, 2626, 4010, 6558, 10428, 16796, 26124, 42686, 69008, 112928, 182646, 298374, 486940, 796612, 1296330, 2121532, 3469558, 5681088, 9275818, 15194178, 24867946, 40742556, 66629916, 109153524, 178773544, 292896144
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OFFSET
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1,1
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COMMENTS
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Column 7 of A253698
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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) = 2*a(n-2) +2*a(n-3) +4*a(n-4) +2*a(n-5) -7*a(n-6) -17*a(n-7) -7*a(n-8) -8*a(n-9) -11*a(n-10) +36*a(n-11) +42*a(n-12) -a(n-13) +28*a(n-14) +17*a(n-15) -53*a(n-16) +5*a(n-17) +12*a(n-18) -72*a(n-19) -20*a(n-20) -2*a(n-21) -54*a(n-22) +10*a(n-23) +32*a(n-24) -12*a(n-25) +22*a(n-26) +24*a(n-27) -a(n-28) +16*a(n-29) +8*a(n-30) +4*a(n-32) for n>38
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EXAMPLE
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Some solutions for n=4
..0..1..1..0..0..1..1..0....0..0..1..0..0..1..1..0....1..1..0..1..1..0..0..1
..1..0..0..1..0..1..1..0....1..0..0..1..1..0..1..0....0..1..1..0..0..1..0..1
..0..1..0..1..1..0..0..1....0..1..1..0..1..0..0..1....1..0..0..1..0..1..0..0
..0..1..1..0..0..1..0..1....0..1..1..0..0..1..1..1....0..1..0..1..0..0..1..1
..1..0..0..1..0..1..0..0....1..0..0..1..1..0..1..1....0..1..0..0..1..1..0..1
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CROSSREFS
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Sequence in context: A236906 A184611 A279042 * A253704 A235015 A185767
Adjacent sequences: A253694 A253695 A253696 * A253698 A253699 A253700
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 09 2015
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STATUS
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approved
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