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Number of (n+1) X (n+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
0

%I #6 Jun 20 2022 17:30:21

%S 20,88,292,988,3188,11140,39508,147892,562580,2191828,8605972,

%T 34091668,135464468,539959060,2154718228,8607898132

%N Number of (n+1) X (n+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Diagonal of A234266.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 22 2013