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Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant -stress 1 X 1 tilings).
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.. 2.. 2.. 0.. 0.. 0.. 2.... 2.. 0.. 2.. 1.. 0.. 0.... 2.. 0.. 0.. 2.. 2.. 2.... 0.. 1.. 0.. 1.. 0.. 1
.. 2.. 0.. 0.. 2.. 0.. 0.... 0.. 0.. 0.. 1.. 2.. 0.... 0.. 0.. 2.. 2.. 0.. 2.... 2.. 1.. 2.. 1.. 2.. 1
.. 0.. 0.. 2.. 2.. 2.. 0.... 2.. 0.. 2.. 1.. 0.. 0.... 2.. 0.. 0.. 2.. 2.. 2.... 0.. 1.. 0.. 1.. 0.. 1
.. 0.. 2.. 2.. 0.. 2.. 2.... 0.. 0.. 0.. 1.. 2.. 0.... 0.. 0.. 2.. 2.. 0.. 2.... 1.. 0.. 1.. 0.. 1.. 0
.. 0.. 0.. 2.. 2.. 2.. 0.... 2.. 0.. 2.. 1.. 0.. 0.... 0.. 2.. 2.. 0.. 0.. 0.... 0.. 1.. 0.. 1.. 0.. 1
.. 2.. 0.. 0.. 2.. 0.. 0.... 0.. 0.. 0.. 1.. 2.. 0.... 2.. 2.. 0.. 0.. 2.. 0.... 1.. 0.. 1.. 0.. 1.. 0
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Number of (n+1) X (5+1) 0..2 arrays with every 2X2 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1X1 1 X 1 tilings).
Column 5 of A234266
Empirical: a(n) = 3*a(n-1) + 6*a(n-2) - 24*a(n-3) + 4*a(n-4) + 36*a(n-5) - 24*a(n-6).
Empirical g.f.: 2*x*(280 - 463*x - 2261*x^2 + 3716*x^3 + 3498*x^4 - 5580*x^5) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)*(1 - 6*x^2)). - Colin Barker, Oct 14 2018
Some solutions for n=5:
Column 5 of A234266.
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R. H. Hardin, <a href="/A234263/b234263.txt">Table of n, a(n) for n = 1..210</a>