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A207943 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207943 #7 Jul 22 2025 21:02:01
%S A207943 14,196,826,3641,20568,120276,737575,4570122,28555126,178852957,
%T A207943 1121957980,7041891730,44211129243,277603005560,1743182466528,
%U A207943 10946427636013,68739662962482,431662923010836,2710711178183705
%N A207943 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207943 Row 7 of A207938
%H A207943 R. H. Hardin, <a href="/A207943/b207943.txt">Table of n, a(n) for n = 1..210</a>
%F A207943 Empirical: a(n) = 11*a(n-1) -12*a(n-2) -210*a(n-3) +495*a(n-4) +1675*a(n-5) -4933*a(n-6) -7524*a(n-7) +24432*a(n-8) +22034*a(n-9) -69076*a(n-10) -45806*a(n-11) +114911*a(n-12) +67305*a(n-13) -109800*a(n-14) -63536*a(n-15) +56149*a(n-16) +33715*a(n-17) -13209*a(n-18) -8384*a(n-19) +1044*a(n-20) +720*a(n-21) for n>22
%e A207943 Some solutions for n=4
%e A207943 ..1..0..1..1....0..1..0..1....1..0..1..1....0..0..0..0....0..0..0..0
%e A207943 ..0..1..0..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%e A207943 ..1..0..1..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%e A207943 ..0..1..0..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%e A207943 ..0..1..1..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%e A207943 ..0..1..0..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%e A207943 ..0..1..0..1....1..0..1..0....0..1..1..1....1..0..1..0....0..1..0..1
%K A207943 nonn
%O A207943 1,1
%A A207943 _R. H. Hardin_ Feb 21 2012