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Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).
1

%I #6 Jun 20 2022 17:53:45

%S 67840,144512,315024,808160,2113072,6250544,18735792,61854032,

%T 205847920,742330832,2685104304,10406929040,40243778032,165309636944,

%U 673859691312,2898413109392,12308156836720,54881656146512,240470725028784

%N Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234655/b234655.txt">Table of n, a(n) for n = 1..37</a>

%e Some solutions for n=2:

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

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

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

%Y Column 5 of A234658.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013