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A186602 Number of (n+4) X 6 binary arrays with every 5 X 5 subblock commuting with each horizontal and vertical neighbor 5 X 5 subblock. 1

%I #7 May 08 2023 15:05:20

%S 6187,543,916,3455,10882,23977,38625,49309,52849,53957,54873,55797,

%T 56857,59338,67619,89028,127253,177594,232896,295106,371360,465354,

%U 572524,687136,816937,982191,1203410,1488146,1835626,2260505,2797091,3483636

%N Number of (n+4) X 6 binary arrays with every 5 X 5 subblock commuting with each horizontal and vertical neighbor 5 X 5 subblock.

%C Column 2 of A186609.

%H R. H. Hardin, <a href="/A186602/b186602.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: 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>20.

%e Some solutions for 8 X 6

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

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

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

%Y Cf. A186609.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2011

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Last modified May 14 14:46 EDT 2024. Contains 372533 sequences. (Running on oeis4.)