|
%I #5 Mar 31 2012 12:36:05
%S 430183,8853,33006,407733,1398069,1824789,1889853,1922661,1956045,
%T 1993893,2122389,2663373,6952128,12534435,18583878,25969209,44698005,
%U 67421001,91930893,122071401,199108569,304875258,434150964,602474511
%N Number of (n+3)X6 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock
%C Column 3 of A186599
%H R. H. Hardin, <a href="/A186593/b186593.txt">Table of n, a(n) for n = 1..86</a>
%F Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>13
%e Some solutions for 5X6
%e ..0..0..0..0..0..1....2..0..0..0..0..0....0..0..0..0..0..3....0..0..0..0..1..0
%e ..0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..2....0..0..0..0..0..1
%e ..1..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..2
%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 ..2..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....3..0..0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 24 2011
| 