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Number of nX5 binary arrays without the pattern 0 1 0 antidiagonally or horizontally
1

%I #5 Mar 31 2012 12:36:14

%S 21,441,6768,99721,1492864,22289912,333124565,4978704008,74410715409,

%T 1112149145053,16622281551532,248438608557405,3713193773280868,

%U 55497854913016132,829477855588392793,12397479511499889924

%N Number of nX5 binary arrays without the pattern 0 1 0 antidiagonally or horizontally

%C Column 5 of A189064

%H R. H. Hardin, <a href="/A189060/b189060.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 21*a(n-1) -80*a(n-2) -240*a(n-3) +1115*a(n-4) +2917*a(n-5) -15840*a(n-6) +21676*a(n-7) -10784*a(n-8) +1216*a(n-9) for n>10

%e Some solutions for 3X5

%e ..0..1..1..1..0....1..1..0..0..0....0..0..0..1..1....0..0..0..0..1

%e ..1..1..1..1..1....1..1..1..1..0....0..0..1..1..0....1..1..0..1..1

%e ..0..1..1..1..1....1..1..1..0..0....1..0..1..1..1....1..1..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 16 2011