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A235084 Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I #7 Jun 19 2022 23:23:55

%S 1078,2002,3610,7046,13446,27218,53882,111782,226726,478402,986794,

%T 2108630,4404870,9510434,20077706,43752230,93259894,205022194,

%U 441124138,978176486,2124530262,4751604194,10419142682,23500946774,52030658038

%N Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235084/b235084.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +4*a(n-2) -87*a(n-3) +90*a(n-4) +450*a(n-5) -830*a(n-6) -936*a(n-7) +2737*a(n-8) +408*a(n-9) -4078*a(n-10) +891*a(n-11) +2766*a(n-12) -816*a(n-13) -904*a(n-14) +180*a(n-15) +120*a(n-16).

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 5 of A235087.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)