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A208006 Number of nX7 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A208006 #7 Jul 22 2025 21:05:59
%S A208006 35,1225,4861,16742,106503,486443,3569728,18874239,139219755,
%T A208006 803098636,5786553545,35249727777,248244598082,1565658732841,
%U A208006 10842687856821,69941258792526,479065006181663,3136670786824267,21341996465201648
%N A208006 Number of nX7 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A208006 Column 7 of A208007
%H A208006 R. H. Hardin, <a href="/A208006/b208006.txt">Table of n, a(n) for n = 1..210</a>
%F A208006 Empirical: a(n) = 13*a(n-1) -6*a(n-2) -485*a(n-3) +1437*a(n-4) +3392*a(n-5) -14770*a(n-6) -2894*a(n-7) +44308*a(n-8) -15290*a(n-9) -46782*a(n-10) +23648*a(n-11) +18387*a(n-12) -9503*a(n-13) -2702*a(n-14) +1151*a(n-15) +129*a(n-16) -32*a(n-17) for n>18
%e A208006 Some solutions for n=4
%e A208006 ..0..1..1..0..1..0..1....0..1..1..1..0..1..1....0..1..0..1..1..1..1
%e A208006 ..1..0..1..1..1..0..1....0..0..0..0..0..0..0....1..0..1..1..0..1..0
%e A208006 ..0..1..1..0..1..1..1....0..1..0..1..1..1..1....0..1..0..1..1..1..1
%e A208006 ..1..0..1..0..1..0..1....0..0..0..0..0..0..0....1..0..1..1..0..1..0
%K A208006 nonn
%O A208006 1,1
%A A208006 _R. H. Hardin_ Feb 22 2012