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%I #8 Jun 26 2022 03:40:30
%S 43046721,8824,38608,192026,805791,1728546,2296065,2604716,2927679,
%T 3089510,3313917,4090548,6218902,9961241,15014753,21788652,31911831,
%U 45586648,62332637,84072672,116767981,164051247,227583882,314652408
%N Number of (n+3) X 4 0..2 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.
%C Column 1 of A186589.
%H R. H. Hardin, <a href="/A186581/b186581.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>24.
%e Some solutions for 5 X 4
%e ..0..1..1..0....1..1..1..2....1..0..0..1....2..0..1..0....1..1..1..0
%e ..0..0..1..1....0..1..1..2....0..1..0..2....0..2..1..0....0..1..1..0
%e ..2..0..0..0....0..0..1..1....0..0..1..0....0..2..1..0....0..0..1..0
%e ..0..2..0..0....0..0..0..0....0..0..0..0....0..2..1..0....0..0..0..0
%e ..0..0..2..0....0..0..0..0....0..0..0..0....0..0..1..2....0..0..0..1
%Y Cf. A186589.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 24 2011
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