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%I #8 Jun 19 2022 02:18:41
%S 1696,3796,8224,19584,45128,112432,270056,694680,1719360,4527576,
%T 11467512,30743168,79346904,215790584,565988848,1557731960,4144240488,
%U 11523618144,31052234856,87128705240,237510624832,671813438520
%N Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%H R. H. Hardin, <a href="/A235182/b235182.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +41*a(n-2) -177*a(n-3) -709*a(n-4) +3405*a(n-5) +6658*a(n-6) -37423*a(n-7) -35857*a(n-8) +259792*a(n-9) +100713*a(n-10) -1189883*a(n-11) -44519*a(n-12) +3652705*a(n-13) -650588*a(n-14) -7506845*a(n-15) +2237158*a(n-16) +10206566*a(n-17) -3478912*a(n-18) -9024208*a(n-19) +2879248*a(n-20) +5075680*a(n-21) -1279200*a(n-22) -1728912*a(n-23) +283680*a(n-24) +319968*a(n-25) -24192*a(n-26) -24192*a(n-27).
%e Some solutions for n=4:
%e 2 4 3 5 1 2 4 2 5 1 4 1 4 1 3 3 2 3 2 4
%e 4 1 5 2 3 3 0 3 1 2 1 3 1 3 0 0 4 0 4 1
%e 2 4 3 5 1 2 4 2 5 1 5 2 5 2 4 3 2 3 2 4
%e 3 0 4 1 2 3 0 3 1 2 3 5 3 5 2 0 4 0 4 1
%e 2 4 3 5 1 1 3 1 4 0 5 2 5 2 4 3 2 3 2 4
%Y Column 4 of A235186.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 04 2014
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