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%I #6 Jun 20 2022 18:53:12
%S 8736,21048,45792,127032,319488,972888,2723040,8836536,26699136,
%T 90688728,289595232,1018007352,3387971328,12231257688,42028017120,
%U 154964007096,546131550336,2047907680728,7365720907872,27996112930872,102364560941568
%N Number of (n+1) X (4+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).
%H R. H. Hardin, <a href="/A234734/b234734.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23).
%e Some solutions for n=4:
%e 4 0 4 1 3 0 4 1 5 1 4 6 3 7 5 2 0 1 0 5
%e 1 5 1 6 0 5 1 6 2 6 6 0 5 1 7 1 7 0 7 4
%e 7 3 7 4 6 0 4 1 5 1 1 3 0 4 2 2 0 1 0 5
%e 2 6 2 7 1 6 2 7 3 7 6 0 5 1 7 1 7 0 7 4
%e 4 0 4 1 3 1 5 2 6 2 3 5 2 6 4 4 2 3 2 7
%Y Column 4 of A234738.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2013
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