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%I
%S 80,272,272,856,980,856,2896,3164,3164,2896,9192,11984,10640,11984,
%T 9192,31064,40856,43680,43680,40856,31064,98696,159004,163352,209740,
%U 163352,159004,98696,333456,551048,706992,884976,884976,706992,551048,333456
%N T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant stress tilted 1X1 tilings)
%C Table starts
%C ......80......272.......856.......2896........9192........31064.........98696
%C .....272......980......3164......11984.......40856.......159004........551048
%C .....856.....3164.....10640......43680......163352.......706992.......2734000
%C ....2896....11984.....43680.....209740......884976......4616452......20512760
%C ....9192....40856....163352.....884976.....4318800.....26272908.....138216800
%C ...31064...159004....706992....4616452....26272908....198069616....1249781316
%C ...98696...551048...2734000...20512760...138216800...1249781316....9589218960
%C ..333456..2185372..12203144..112743844...902409352..10302188956...97684673000
%C .1059616..7639428..47902816..512846088..4907082840..68182126892..792839750040
%C .3579832.30731272.218388912.2929812696.33616093680.598458783660.8760287132596
%H R. H. Hardin, <a href="/A234890/b234890.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = 14*a(n-2) -37*a(n-4) +21*a(n-6)
%F k=2: [order 27]
%F k=3: [order 46]
%e Some solutions for n=3 k=4
%e ..2..3..1..2..1....1..3..1..3..0....5..2..4..1..5....1..3..1..0..4
%e ..3..5..2..4..2....2..5..2..5..1....3..1..2..0..3....2..5..4..2..5
%e ..1..2..0..3..0....1..3..1..3..0....4..3..5..2..4....0..4..2..1..3
%e ..2..4..1..5..3....2..5..4..5..1....3..1..4..0..3....2..5..4..2..5
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 01 2014
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