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Number of (n+1) X (n+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).
0

%I #6 Jun 20 2022 01:59:22

%S 112,1152,6328,41832,191128,1092120,4736536,25287288,108432472,

%T 559144632,2410981528

%N Number of (n+1) X (n+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%e Some solutions for n=5:

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

%e 2 0 4 1 2 0 3 1 5 1 4 1 1 2 0 2 1 3 4 1 4 1 4 1

%e 1 4 3 5 1 4 2 5 4 5 3 5 5 1 4 1 5 2 0 2 0 2 0 2

%e 3 1 5 2 3 1 2 0 4 0 3 0 1 2 0 2 1 3 5 2 5 2 5 2

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

%e 2 0 4 1 2 0 3 1 5 1 4 1 1 2 0 2 1 3 3 0 3 0 3 0

%Y Diagonal of A234681.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013