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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 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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%I #8 Jun 19 2022 01:15:04

%S 32,148,472,3336,12208,261384,1035792,98517200,394703128,170944136648,

%T 684393189840,1274659858736120,5100387102322576

%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 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%e Some solutions for n=4:

%e 1 0 2 0 2 2 0 2 1 2 1 0 1 0 1 2 0 1 0 1

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

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

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

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

%Y Diagonal of A234882.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014