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%I #6 Jun 19 2022 02:01:33
%S 1824,5612,17448,56936,188040,648536,2264904,8215256,30142344,
%T 114224792,436849608,1716521816,6787144200,27449810456,111385692744,
%U 460731399896,1906999712904,8026422662552,33728591085768,143889611473496
%N Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).
%H R. H. Hardin, <a href="/A234222/b234222.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +20*a(n-2) -390*a(n-3) +460*a(n-4) +5520*a(n-5) -14240*a(n-6) -26400*a(n-7) +115776*a(n-8) -13824*a(n-9) -299520*a(n-10) +276480*a(n-11).
%e Some solutions for n=5:
%e 1 1 1 3 1 3 0 0 2 1 2 4 0 2 4 4 1 4 1 1
%e 1 4 1 0 2 1 1 4 4 0 4 3 2 1 0 3 3 3 3 0
%e 0 0 0 2 4 0 3 3 4 3 4 0 2 4 0 0 4 1 4 4
%e 1 4 1 0 1 0 0 3 4 0 4 3 3 2 1 4 1 1 1 4
%e 2 2 2 4 4 0 3 3 1 0 1 3 4 0 2 2 4 1 4 4
%e 4 1 4 3 2 1 1 4 4 0 4 3 3 2 1 4 0 0 0 3
%Y Column 3 of A234227.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 21 2013
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