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Number of (n+1) X (7+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
1

%I #7 Jun 20 2022 18:18:43

%S 87808,1578036,26023136,483370700,8028682984,153582428536,

%T 2561421896376,50550841783616,845061581153064,17225338328311560,

%U 288096942502518832,6067393540914839284,101341384172618252496,2204356516673445136156

%N Number of (n+1) X (7+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234442/b234442.txt">Table of n, a(n) for n = 1..125</a>

%e Some solutions for n=1:

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

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

%Y Column 7 of A234443.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2013