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%I #6 Jun 20 2022 01:53:38
%S 512,1188,2096,6364,12208,44348,87312,354132,703104,3038716,6051952,
%T 27075444,53993296,245985516,490821440,2257240564,4505154032,
%U 20819580220,41558674736,192537441668,384356619712,1783019060604,3559512651120
%N Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%H R. H. Hardin, <a href="/A234879/b234879.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +34*a(n-2) -34*a(n-3) -490*a(n-4) +490*a(n-5) +3953*a(n-6) -3953*a(n-7) -19806*a(n-8) +19806*a(n-9) +64568*a(n-10) -64568*a(n-11) -139460*a(n-12) +139460*a(n-13) +199324*a(n-14) -199324*a(n-15) -184736*a(n-16) +184736*a(n-17) +105888*a(n-18) -105888*a(n-19) -33888*a(n-20) +33888*a(n-21) +4608*a(n-22) -4608*a(n-23).
%e Some solutions for n=4:
%e 3 4 1 4 3 4 2 3 2 3 2 3 2 3 2 4 2 4 4 2 4 2 4 2
%e 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 1 0 1 1 0 1 0 1 0
%e 3 4 1 4 1 4 1 4 1 4 3 4 2 3 2 4 2 4 4 2 4 2 4 2
%e 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 1 0 1 1 0 3 0 3 0
%e 3 4 1 4 1 4 3 4 3 4 3 4 1 4 1 3 1 3 4 2 4 2 4 2
%Y Column 5 of A234882.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 01 2014
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