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A235086 Number of (n+1) X (7+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 21:20:55

%S 5786,9838,16390,29970,53882,103702,196302,390578,764386,1553646,

%T 3106158,6403898,12986378,27053230,55429622,116456530,240620906,

%U 509472502,1060761214,2263211058,4748262482,10211045710,21595163358,46827642938

%N Number of (n+1) X (7+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="/A235086/b235086.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 4 1 3 2 4 1 3 1 4 1 3 1 4 2 4 1 2 1 3 1 2 1 3 0

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

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

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

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

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

%Y Column 7 of A235087.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)