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A189155 Number of nX3 binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.

%I A189155 #7 Jul 22 2025 11:34:50
%S A189155 8,64,512,3375,21952,140608,884736,5545233,34645976,216000000,
%T A189155 1345572864,8377795791,52145952256,324525966848,2019487744000,
%U A189155 12566456507249,78194107594728,486552055503808,3027480871826944,18837870152811039
%N A189155 Number of nX3 binary arrays without the pattern 0 0 1 1 diagonally, vertically or horizontally.
%C A189155 Column 3 of A189161
%H A189155 R. H. Hardin, <a href="/A189155/b189155.txt">Table of n, a(n) for n = 1..200</a>
%F A189155 Empirical: a(n) = 7*a(n-1) -a(n-2) +a(n-3) -164*a(n-4) +28*a(n-5) +68*a(n-6) +684*a(n-7) +66*a(n-8) +66*a(n-9) -726*a(n-10) -138*a(n-11) -132*a(n-12) +220*a(n-13) +20*a(n-14) +28*a(n-15) -25*a(n-16) -a(n-17) -a(n-18) +a(n-19)
%e A189155 Some solutions for 4X3
%e A189155 ..0..0..1....1..0..1....0..0..0....0..1..1....1..1..0....1..0..0....0..0..1
%e A189155 ..0..0..0....0..1..0....0..0..0....1..0..1....0..1..0....0..1..1....1..0..0
%e A189155 ..0..1..0....0..0..1....0..0..0....0..0..0....1..0..0....1..1..0....0..0..1
%e A189155 ..0..0..0....1..0..0....0..1..1....0..1..0....1..1..0....0..1..1....0..0..0
%Y A189155 A008937(n+1)^3
%K A189155 nonn
%O A189155 1,1
%A A189155 _R. H. Hardin_ Apr 17 2011