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%I
%S 33554432,6187,6187,11884,543,11884,42120,916,916,42120,156276,3455,
%T 1566,3455,156276,403567,10882,5813,5813,10882,403567,707955,23977,
%U 19840,19248,19840,23977,707955,912129,38625,44120,54040,54040,44120,38625
%N T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock
%C Table starts
%C .33554432..6187.11884..42120.156276.403567.707955.912129.992000.1040400.1082540
%C .....6187...543...916...3455..10882..23977..38625..49309..52849...53957...54873
%C ....11884...916..1566...5813..19840..44120..61336..66332..67552...68580...69616
%C ....42120..3455..5813..19248..54040..90664..98376..99820.101072..102332..103620
%C ...156276.10882.19840..54040.101080.126344.132040.133484.134936..136416..138160
%C ...403567.23977.44120..90664.126344.169400.176696.178372.180076..182044..185232
%C ...707955.38625.61336..98376.132040.176696.191232.193000.195032..198284..206372
%C ...912129.49309.66332..99820.133484.178372.193000.195916.199176..207272..230808
%C ...992000.52849.67552.101072.134936.180076.195032.199176.208164..231708..275600
%C ..1040400.53957.68580.102332.136416.182044.198284.207272.231708..276500..325272
%H R. H. Hardin, <a href="/A186609/b186609.txt">Table of n, a(n) for n = 1..720</a>
%F Empirical, for all columns: a(n)=a(n-1)+a(n-3)-a(n-4)+a(n-5)-a(n-6)-a(n-8)+a(n-9)+a(n-10)-a(n-13) for n>21,20,19,18,19,20,21,22 respectively for k in 1..8
%e Some solutions for 7X6
%e ..0..0..0..0..0..0....0..0..0..1..1..1....0..0..0..0..0..1....0..0..0..0..0..0
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..1..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....1..1..0..0..0..0
%e ..1..1..1..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0
%e ..0..0..1..1..0..0....1..1..1..1..0..0....0..1..0..0..0..0....0..1..0..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 24 2011
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