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A186606 Number of (n+4)X10 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock 1

%I #5 Mar 31 2012 12:36:06

%S 403567,23977,44120,90664,126344,169400,176696,178372,180076,182044,

%T 185232,193256,217524,264552,338964,470324,613816,815629,1041906,

%U 1297535,1613300,1949221,2367731,2857733,3451499,4236761,5185671,6418983,7950064

%N Number of (n+4)X10 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock

%C Column 6 of A186609

%H R. H. Hardin, <a href="/A186606/b186606.txt">Table of n, a(n) for n = 1..75</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 6X10

%e ..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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011

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Last modified April 23 12:27 EDT 2024. Contains 371912 sequences. (Running on oeis4.)