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%I #7 Jun 19 2022 00:04:35
%S 420,1288,3688,11728,34916,113940,348876,1158552,3626376,12193672,
%T 38853396,131871756,426383532,1457769280,4770857720,16406943392,
%U 54238894212,187427003188,624847358508,2167920197880,7278838832680
%N Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%C Column 2 of A235239.
%H R. H. Hardin, <a href="/A235233/b235233.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +47*a(n-2) -331*a(n-3) -846*a(n-4) +7735*a(n-5) +6531*a(n-6) -99876*a(n-7) -4062*a(n-8) +780931*a(n-9) -294777*a(n-10) -3829232*a(n-11) +2187642*a(n-12) +11922251*a(n-13) -7106223*a(n-14) -23840076*a(n-15) +11482195*a(n-16) +31200479*a(n-17) -9197246*a(n-18) -26295345*a(n-19) +2967600*a(n-20) +13895070*a(n-21) +468804*a(n-22) -4403844*a(n-23) -634896*a(n-24) +759672*a(n-25) +171504*a(n-26) -54432*a(n-27) -15552*a(n-28).
%e Some solutions for n=4:
%e 3 5 4 0 2 0 3 2 6 4 2 5 3 0 3 4 6 4 5 3 4
%e 5 1 6 4 0 4 0 5 3 0 4 1 2 5 2 5 1 5 2 6 1
%e 2 4 3 3 5 3 2 1 5 5 3 6 5 2 5 4 6 4 5 3 4
%e 5 1 6 6 2 6 1 6 4 0 4 1 0 3 0 6 2 6 1 5 0
%e 3 5 4 3 5 3 2 1 5 2 0 3 4 1 4 2 4 2 5 3 4
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 05 2014
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