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A234683 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). 1

%I #9 Jun 19 2022 01:07:32

%S 232,1148,5472,27344,131200,661952,3196416,16276736,79071232,

%T 406166528,1984192512,10274852864,50451742720,263191642112,

%U 1298305253376,6818128265216,33772142067712,178415166291968,886967057252352

%N Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234683/b234683.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 72*a(n-2) - 1712*a(n-4) + 13440*a(n-6).

%F Empirical g.f.: 4*x*(58 + 287*x - 2808*x^2 - 13828*x^3 + 33600*x^4 + 164640*x^5) / ((1 - 20*x^2)*(1 - 24*x^2)*(1 - 28*x^2)). - _Colin Barker_, Oct 16 2018

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 1 of A234690.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified April 19 04:04 EDT 2024. Contains 371782 sequences. (Running on oeis4.)