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%I #9 Jun 19 2022 01:27:43
%S 4456,6088,8760,13912,23016,40968,74888,144184,283832,581720,1219560,
%T 2643112,5857032,13329432,30923000,73178104,175729256,427827272,
%U 1052243592,2611236664,6523282488,16387734744,41341915880,104653471144
%N Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%H R. H. Hardin, <a href="/A235015/b235015.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) + a(n-2) - 38*a(n-3) + 33*a(n-4) + 97*a(n-5) - 127*a(n-6) - 88*a(n-7) + 154*a(n-8) + 12*a(n-9) - 48*a(n-10).
%F Empirical g.f.: 8*x*(557 - 2024*x - 3267*x^2 + 16669*x^3 + 3624*x^4 - 48535*x^5 + 7748*x^6 + 57484*x^7 - 12768*x^8 - 21712*x^9) / ((1 - x)*(1 - 2*x)*(1 - x - x^2)*(1 - 2*x^2)*(1 - 3*x^2)*(1 - x - 4*x^2)). - _Colin Barker_, Oct 17 2018
%e Some solutions for n=4:
%e 4 0 4 0 4 0 2 0 2 1 3 1 2 1 0 1 2 0 2 0 4
%e 2 1 2 1 2 1 0 1 0 2 1 2 0 2 4 2 0 1 0 1 2
%e 0 2 0 2 0 2 4 0 2 1 3 1 2 1 2 3 4 2 4 2 0
%e 2 1 2 1 2 1 0 2 1 3 2 3 1 3 4 2 0 1 0 1 2
%e 4 0 4 0 4 0 2 1 3 2 4 2 3 2 2 3 4 2 4 2 0
%Y Column 6 of A235017.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 02 2014
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