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Number of (n+1) X (n+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).
0

%I #6 Jun 20 2022 18:51:07

%S 168,2220,15224,129384,747192,5441232,29871848,201644928,1092396888,

%T 7078853280

%N Number of (n+1) X (n+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

%e Some solutions for n=4:

%e 4 4 5 4 6 3 5 3 4 3 4 6 2 6 6 4 2 5 3 4

%e 0 6 1 6 2 5 1 5 0 5 4 0 2 0 6 0 4 1 5 0

%e 2 2 3 2 4 4 6 4 5 4 4 6 2 6 6 3 1 4 2 3

%e 0 6 1 6 2 5 1 5 0 5 4 0 2 0 6 0 4 1 5 0

%e 4 4 5 4 6 3 5 3 4 3 2 4 0 4 4 5 3 6 4 5

%Y Diagonal of A234823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2013