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%I #5 Mar 31 2012 12:36:15
%S 12,144,1156,8900,65760,481552,3510380,25556548,185975588,1353139492,
%T 9844797788,71624858188,521097138012,3791166287372,27582062117196,
%U 200669125155708,1459937829727116,10621556383444668,77275523001250188
%N Number of nX4 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally
%C Column 4 of A189264
%H R. H. Hardin, <a href="/A189259/b189259.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 9*a(n-1) -9*a(n-2) -27*a(n-3) +62*a(n-4) -522*a(n-5) +730*a(n-6) +2202*a(n-7) -3620*a(n-8) +5768*a(n-9) -7920*a(n-10) -45696*a(n-11) +71680*a(n-12) +75424*a(n-13) -146112*a(n-14) +13984*a(n-15) +51072*a(n-16) -17024*a(n-17) for n>18
%e Some solutions for 4X3
%e ..0..1..0....1..1..1....0..1..0....1..1..1....0..0..0....1..1..0....1..0..0
%e ..1..1..1....0..1..0....1..1..1....0..1..0....1..1..0....1..1..1....0..1..1
%e ..1..1..1....1..1..1....1..1..0....1..1..1....0..0..0....1..1..0....0..1..0
%e ..0..1..1....0..1..1....1..1..0....0..0..1....1..1..0....0..1..1....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 19 2011
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