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%I #7 Jun 18 2022 23:07:57
%S 1120,2744,5968,16352,40144,118160,316912,978320,2793040,8912144,
%T 26587888,86877392,267503824,889483280,2803453552,9443848400,
%U 30295673680,103054014224,335138253808,1148358087632,3774606372304,13004580227600
%N Number of (n+1) X (3+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).
%C Column 3 of A235319.
%H R. H. Hardin, <a href="/A235314/b235314.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).
%e Some solutions for n=4:
%e 5 3 5 4 6 2 6 3 0 5 1 5 6 2 6 2 1 3 1 5
%e 0 5 0 6 1 4 1 5 2 0 3 0 2 5 2 5 5 0 5 2
%e 4 2 4 3 5 1 5 2 0 5 1 5 6 2 6 2 1 3 1 5
%e 0 5 0 6 1 4 1 5 3 1 4 1 3 6 3 6 6 1 6 3
%e 2 0 2 1 6 2 6 3 0 5 1 5 4 0 4 0 1 3 1 5
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 05 2014
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