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%I #6 Jun 20 2022 00:39:48
%S 268,628,1116,3336,6364,22748,44540,178572,353428,1512256,3007252,
%T 13311628,26527148,119439828,238241724,1081829832,2158800908,
%U 9844644828,19648912012,89797542908,179243095124,820073869984,1637003801252
%N Number of (n+1) X (4+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).
%C Column 4 of A234882.
%H R. H. Hardin, <a href="/A234878/b234878.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +27*a(n-2) -55*a(n-3) -290*a(n-4) +607*a(n-5) +1617*a(n-6) -3524*a(n-7) -5091*a(n-8) +11799*a(n-9) +9192*a(n-10) -23475*a(n-11) -9214*a(n-12) +27620*a(n-13) +4652*a(n-14) -18518*a(n-15) -912*a(n-16) +6476*a(n-17) -912*a(n-19).
%e Some solutions for n=4:
%e 1 0 3 0 3 3 4 2 4 3 2 4 2 4 1 0 3 0 3 0
%e 4 2 4 2 4 0 2 1 2 0 1 2 1 2 0 2 4 2 4 2
%e 1 0 3 0 3 3 4 2 4 1 2 4 2 4 3 1 2 1 2 1
%e 4 2 4 2 4 0 2 1 2 0 1 2 1 2 0 2 4 2 4 2
%e 3 0 3 0 1 1 4 2 4 1 2 4 2 4 1 0 1 0 1 0
%Y Column 4 of A234882.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 01 2014
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