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%I #6 Jun 19 2022 23:35:28
%S 376,1128,3684,13336,49056,186500,710304,2755840,10693364,42087616,
%T 165680800,659882692,2629088000,10575205872,42553878500,172546960864,
%U 699893575232,2856015808196,11657898710352,47806906114000
%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 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%H R. H. Hardin, <a href="/A234916/b234916.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -2*a(n-2) -188*a(n-3) +413*a(n-4) +1077*a(n-5) -3828*a(n-6) -1678*a(n-7) +14385*a(n-8) -3643*a(n-9) -26998*a(n-10) +16004*a(n-11) +26132*a(n-12) -21362*a(n-13) -12072*a(n-14) +12608*a(n-15) +2016*a(n-16) -3096*a(n-17) +224*a(n-19).
%e Some solutions for n=5:
%e 0 1 0 1 1 2 1 2 1 2 1 2 4 3 4 3 2 3 2 1
%e 1 0 1 0 4 3 4 3 0 3 4 3 1 2 1 2 3 2 3 0
%e 4 1 4 1 3 0 3 4 1 2 1 2 4 3 4 3 4 1 4 3
%e 1 0 1 0 4 3 4 3 2 1 2 1 3 4 3 4 1 0 1 2
%e 0 1 0 1 1 2 1 2 3 0 3 0 1 0 1 0 0 1 4 3
%e 1 4 1 4 2 1 2 1 2 1 2 1 0 1 4 1 3 2 3 4
%Y Column 3 of A234921.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 01 2014
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