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Number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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%I #6 Jun 20 2022 01:36:10

%S 40,360,3684,55492,991144,28854040,911837036,56108159524,3092040129896

%N Number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%e Some solutions for n=4:

%e 3 2 1 2 1 0 3 2 1 0 1 4 3 0 1 2 1 2 1 0

%e 2 3 0 3 4 3 4 1 2 3 2 3 4 3 2 3 4 3 0 1

%e 3 2 1 2 1 0 3 2 1 0 1 0 3 0 1 2 1 2 1 4

%e 4 1 2 1 2 1 2 3 4 1 2 3 4 3 2 3 4 3 0 1

%e 1 0 3 4 3 2 1 4 3 2 1 4 3 0 1 4 3 4 3 2

%Y Diagonal of A234921.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014