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%I #5 Mar 31 2012 12:36:47
%S 108,333,333,1144,1530,1144,4048,7835,7835,4048,14743,41657,60362,
%T 41657,14743,54250,226004,482118,482118,226004,54250,201098,1235783,
%U 3922195,5792412,3922195,1235783,201098,747683,6782829,32097834,70757101
%N T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 100 in rows and columns
%C Table starts
%C ......108........333.........1144...........4048............14743
%C ......333.......1530.........7835..........41657...........226004
%C .....1144.......7835........60362.........482118..........3922195
%C .....4048......41657.......482118........5792412.........70757101
%C ....14743.....226004......3922195.......70757101.......1298560926
%C ....54250....1235783.....32097834......869323542......23966292639
%C ...201098....6782829....263496670....10708740246.....443521643383
%C ...747683...37288278...2165338373...132045501007....8215338474276
%C ..2785178..205145785..17804391712..1628956232144..152244358697251
%C .10383774.1129013615.146424450894.20098992430100.2821802991486057
%H R. H. Hardin, <a href="/A202317/b202317.txt">Table of n, a(n) for n = 1..264</a>
%e Some solutions for n=3 k=3
%e ..0..1..1..0..1....0..1..1..1..1....0..1..1..0..1....1..1..1..1..1
%e ..1..1..1..1..1....1..1..0..1..1....1..1..1..1..1....1..1..1..0..1
%e ..0..1..0..1..0....1..0..1..1..0....1..1..0..1..1....0..1..0..1..1
%e ..1..1..1..1..1....1..1..1..1..1....1..1..1..0..1....1..0..1..1..1
%e ..0..0..0..0..0....0..1..1..0..1....1..1..1..1..0....0..1..1..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Dec 16 2011
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