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A208024 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

%I A208024 #7 Jul 22 2025 21:06:56
%S A208024 10,100,378,1377,4823,17119,61292,218243,776100,2765576,9852117,
%T A208024 35078967,124935587,444991022,1584772385,5644067960,20101607046,
%U A208024 71591508557,254970749655,908076480129,3234105068568,11518206999371,41021924800776
%N A208024 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.
%C A208024 Column 4 of A208028
%H A208024 R. H. Hardin, <a href="/A208024/b208024.txt">Table of n, a(n) for n = 1..210</a>
%F A208024 Empirical: a(n) = a(n-1) +a(n-2) +20*a(n-3) +27*a(n-4) +34*a(n-5) -21*a(n-6) -105*a(n-7) -149*a(n-8) +6*a(n-9) +254*a(n-10) +227*a(n-11) -101*a(n-12) -242*a(n-13) -93*a(n-14) +86*a(n-15) +77*a(n-16) +15*a(n-17) -34*a(n-18) -9*a(n-19) -5*a(n-20) +7*a(n-21) -2*a(n-22) -a(n-24) for n>25
%e A208024 Some solutions for n=4
%e A208024 ..1..0..1..0....1..1..1..1....0..1..0..1....0..1..1..0....0..1..1..1
%e A208024 ..0..1..1..0....1..1..1..0....0..1..1..0....1..1..0..0....1..1..0..1
%e A208024 ..0..1..0..1....1..0..1..0....1..1..0..0....0..1..0..1....1..1..0..1
%e A208024 ..1..1..0..1....1..0..1..1....0..1..0..1....0..1..1..1....1..0..1..0
%K A208024 nonn
%O A208024 1,1
%A A208024 _R. H. Hardin_ Feb 22 2012