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A235091 Number of (n+1) X (1+1) 0..5 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 #9 Jun 19 2022 01:32:25

%S 80,256,808,2580,8184,26164,83224,266572,849688,2726852,8707160,

%T 27993324,89526552,288291140,923287256,2977443116,9547498136,

%U 30828553348,98964094552,319913934828,1027967064600,3326345126596,10697524464088

%N Number of (n+1) X (1+1) 0..5 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="/A235091/b235091.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 13*a(n-2) - 39*a(n-3) - 26*a(n-4) + 78*a(n-5).

%F Empirical g.f.: 4*x*(20 + 4*x - 250*x^2 - 13*x^3 + 501*x^4) / ((1 - 3*x)*(1 - 13*x^2 + 26*x^4)). - _Colin Barker_, Oct 17 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 1 of A235098.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014

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Last modified April 19 18:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)