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A208112 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A208112 #7 Jul 22 2025 21:10:14
%S A208112 35,1225,2485,5041,89815,1600225,4747545,14085009,176312187,
%T A208112 2207026441,8330645133,31444864929,316504755855,3185743068225,
%U A208112 14132905548945,62697780385249,546849942762131,4769624348126089,23640747042219941
%N A208112 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A208112 Row 7 of A208108
%H A208112 R. H. Hardin, <a href="/A208112/b208112.txt">Table of n, a(n) for n = 1..210</a>
%F A208112 Empirical: a(n) = 2*a(n-1) +34*a(n-3) +1153*a(n-4) -1184*a(n-5) -1088*a(n-6) -33792*a(n-8) +32768*a(n-9)
%e A208112 Some solutions for n=5
%e A208112 ..1..0..0..1..1....1..1..1..1..1....1..1..1..0..1....1..0..0..1..1
%e A208112 ..1..0..0..1..1....1..1..1..1..1....0..1..1..0..0....1..1..0..1..1
%e A208112 ..1..1..0..1..1....1..1..1..1..1....0..1..1..0..0....1..0..1..1..1
%e A208112 ..1..0..1..1..1....1..1..1..1..1....1..1..1..0..1....1..1..0..1..1
%e A208112 ..1..0..0..1..1....1..1..1..1..1....0..1..1..0..0....1..0..1..1..1
%e A208112 ..1..1..1..1..1....1..1..1..1..1....1..1..1..0..0....1..1..0..1..1
%e A208112 ..1..0..0..1..1....1..1..1..1..1....0..1..1..1..0....1..0..1..1..1
%K A208112 nonn
%O A208112 1,1
%A A208112 _R. H. Hardin_ Feb 23 2012