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A253702 Number of (5+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 680,602,878,1120,1632,1914,2626,3598,5568,7834,11444,15184,21204,

%T 28724,41780,59166,85802,118564,166932,229624,328208,460790,662480,

%U 924528,1309914,1817614,2579176,3614912,5154266,7229288,10245464,14314250

%N Number of (5+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 5 of A253698

%H R. H. Hardin, <a href="/A253702/b253702.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = -a(n-1) +a(n-2) +a(n-3) +2*a(n-4) +3*a(n-5) +2*a(n-7) +3*a(n-8) -6*a(n-9) -5*a(n-10) -4*a(n-11) -6*a(n-12) +6*a(n-13) +6*a(n-14) -5*a(n-15) -5*a(n-16) -8*a(n-17) -6*a(n-18) +6*a(n-19) +6*a(n-20) +5*a(n-21) +3*a(n-22) -a(n-23) +a(n-24) +a(n-25) +a(n-26) +a(n-27) for n>34

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified May 23 15:54 EDT 2022. Contains 353976 sequences. (Running on oeis4.)