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Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
1

%I #7 Jun 19 2022 01:45:02

%S 4296,32070,236876,1773484,13227132,99877680,751361300,5729616704,

%T 43493374260,335194819624,2568518101508,20015511073672,

%U 154853905277996,1220427512643784,9532590261966940,75975862900079592,598936631627547644

%N Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234164/b234164.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A234164/a234164.txt">Empirical recurrence of order 80</a>

%F Empirical recurrence of order 80 (see link above).

%e Some solutions for n=2:

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

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

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

%Y Column 3 of A234169.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013