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A253703 Number of (6+1)X(n+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 1

%I

%S 1736,1182,1472,1638,2386,3042,4010,5178,6934,8938,12212,16174,22824,

%T 30696,43046,57850,79936,107610,148468,201388,277230,375774,516762,

%U 699910,965566,1310400,1809600,2452546,3377162,4578316,6298534,8563704

%N Number of (6+1)X(n+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

%C Row 6 of A253698

%H R. H. Hardin, <a href="/A253703/b253703.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=4

%e ..1..0..1..1..0....0..1..1..0..0....1..1..0..0..1....1..1..0..1..0

%e ..1..1..0..0..0....1..0..0..1..1....0..0..1..0..0....0..1..0..0..1

%e ..0..0..1..0..0....0..1..0..1..1....1..0..0..1..1....0..0..1..1..0

%e ..1..0..0..1..1....0..1..1..0..0....0..1..1..0..1....1..1..0..1..0

%e ..0..1..1..0..1....1..0..0..1..0....1..0..1..0..1....1..1..0..0..1

%e ..1..0..1..1..1....0..1..0..1..0....1..0..1..1..0....0..0..1..1..0

%e ..0..0..1..0..1....0..1..0..0..1....1..1..0..0..1....0..0..1..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified July 1 20:10 EDT 2022. Contains 354975 sequences. (Running on oeis4.)