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Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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%I #6 Jun 20 2022 18:05:31

%S 16572,115924,743436,5941320,44518632,385262124,3064189932,

%T 27702518548,225962416092,2102864178560,17375211533100,

%U 165422663167944,1377710367593992,13372892400690664,111984980465312848

%N Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234894/b234894.txt">Table of n, a(n) for n = 1..199</a>

%e Some solutions for n=2:

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

%e 0 2 1 4 1 5 2 6 3 6 0 2 0 2 1 1 3 0 2 0

%e 4 5 3 5 3 2 0 3 1 5 3 6 5 6 4 3 4 2 5 4

%Y Column 4 of A234898.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2014