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A253703
Number of (6+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.
1
1736, 1182, 1472, 1638, 2386, 3042, 4010, 5178, 6934, 8938, 12212, 16174, 22824, 30696, 43046, 57850, 79936, 107610, 148468, 201388, 277230, 375774, 516762, 699910, 965566, 1310400, 1809600, 2452546, 3377162, 4578316, 6298534, 8563704
OFFSET
1,1
COMMENTS
Row 6 of A253698.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-2) +a(n-5) -a(n-6) +2*a(n-7) +a(n-8) -8*a(n-9) -a(n-10) +2*a(n-11) +5*a(n-13) -11*a(n-15) +6*a(n-17) +7*a(n-19) -4*a(n-21) for n>31.
EXAMPLE
Some solutions for n=4
..1..0..1..1..0....0..1..1..0..0....1..1..0..0..1....1..1..0..1..0
..1..1..0..0..0....1..0..0..1..1....0..0..1..0..0....0..1..0..0..1
..0..0..1..0..0....0..1..0..1..1....1..0..0..1..1....0..0..1..1..0
..1..0..0..1..1....0..1..1..0..0....0..1..1..0..1....1..1..0..1..0
..0..1..1..0..1....1..0..0..1..0....1..0..1..0..1....1..1..0..0..1
..1..0..1..1..1....0..1..0..1..0....1..0..1..1..0....0..0..1..1..0
..0..0..1..0..1....0..1..0..0..1....1..1..0..0..1....0..0..1..1..0
CROSSREFS
Cf. A253698.
Sequence in context: A280927 A095847 A253696 * A235014 A185766 A179160
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 09 2015
STATUS
approved