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%I #7 Apr 28 2023 13:57:23
%S 12,144,1164,8496,65160,515560,4075336,32031600,251533888,1976926440,
%T 15543816656,122208548968,960755182696,7553047614920,59379727197728,
%U 466827426445200,3670067881137352,28853031765433504,226834374728410104
%N Number of n X 4 binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally.
%C Column 4 of A189617.
%H R. H. Hardin, <a href="/A189612/b189612.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 12*a(n-1) -29*a(n-2) -69*a(n-3) +512*a(n-4) -1626*a(n-5) +60*a(n-6) +9924*a(n-7) -9708*a(n-8) +1120*a(n-9) +1064*a(n-10) -73360*a(n-11) +46560*a(n-12) +40960*a(n-13) +31616*a(n-14) +147456*a(n-15) -64000*a(n-16) -110592*a(n-17) -16384*a(n-18) -32768*a(n-19).
%e Some solutions for 3 X 4
%e ..1..1..1..1....0..1..1..0....1..1..0..0....1..0..0..0....1..1..1..0
%e ..1..1..0..1....1..1..0..1....1..1..1..0....1..0..1..1....0..1..1..0
%e ..0..0..1..1....1..0..1..1....1..1..1..0....1..1..0..1....0..1..1..1
%Y Cf. A189617.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 24 2011
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