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A207842 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207842 #7 Jul 22 2025 20:52:35
%S A207842 16,256,432,2320,10144,41444,185136,813824,3485460,15230748,66498048,
%T A207842 288260144,1254699732,5464724040,23754515904,103342176624,
%U A207842 449732042272,1956188201356,8510004040560,37025612095680,161072178927292
%N A207842 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207842 Column 5 of A207845
%H A207842 R. H. Hardin, <a href="/A207842/b207842.txt">Table of n, a(n) for n = 1..210</a>
%F A207842 Empirical: a(n) = 3*a(n-2) +48*a(n-3) +76*a(n-4) +109*a(n-5) -87*a(n-6) -231*a(n-7) -212*a(n-8) -604*a(n-9) -224*a(n-10) -993*a(n-11) +224*a(n-12) -604*a(n-13) +212*a(n-14) -231*a(n-15) +87*a(n-16) +109*a(n-17) -76*a(n-18) +48*a(n-19) -3*a(n-20) +a(n-22) for n>24
%e A207842 Some solutions for n=4
%e A207842 ..0..1..0..1..1....1..0..1..0..1....1..0..1..0..0....0..1..0..1..0
%e A207842 ..1..0..1..0..0....0..1..0..1..1....0..1..0..1..1....0..1..0..1..1
%e A207842 ..0..1..1..1..0....0..1..0..1..0....1..1..1..1..1....1..0..1..0..0
%e A207842 ..0..1..0..1..1....1..0..1..0..1....1..0..1..0..0....0..1..0..1..0
%K A207842 nonn
%O A207842 1,1
%A A207842 _R. H. Hardin_ Feb 21 2012