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%I #6 Jun 20 2022 19:10:44
%S 944,3540,13260,49784,187196,705072,2659824,10049936,38030588,
%T 144134184,547062036,2079436784,7915312712,30172181304,115169444940,
%U 440212045280,1684837886252,6456944580816,24776948509056,95196417683360
%N Number of (n+1) X (3+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
%H R. H. Hardin, <a href="/A234485/b234485.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) -43*a(n-2) -107*a(n-3) +865*a(n-4) -1033*a(n-5) -1916*a(n-6) +2822*a(n-7) +2712*a(n-8) -1332*a(n-9) -1512*a(n-10) -288*a(n-11).
%e Some solutions for n=5:
%e 0 2 1 3 0 1 1 2 0 1 1 1 2 2 2 3 2 3 2 3
%e 3 3 0 0 1 0 2 1 2 1 3 1 3 1 3 2 1 0 1 0
%e 3 1 0 2 2 3 3 0 2 3 3 3 2 2 2 3 1 2 1 2
%e 2 2 3 3 2 1 3 2 2 1 3 1 0 2 0 3 2 1 2 1
%e 1 3 2 0 1 2 2 3 1 2 2 2 1 1 1 2 3 0 3 0
%e 1 1 2 2 3 2 0 3 0 3 1 3 3 1 3 2 3 2 3 2
%Y Column 3 of A234490.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 26 2013
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