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A235191 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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I #12 Jun 19 2022 02:19:15

%S 136,512,1880,7072,26040,98080,361688,1364512,5038200,19038496,

%T 70378904,266376736,985819704,3737000224,13845090392,52561201696,

%U 194934374904,741091305760,2751206637848,10473426441760,38917567088568

%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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%H R. H. Hardin, <a href="/A235191/b235191.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-2) - 257*a(n-4) + 468*a(n-6).

%F Empirical g.f.: 8*x*(17 + 64*x - 275*x^2 - 1036*x^3 + 574*x^4 + 2188*x^5) / ((1 - 13*x^2)*(1 - 17*x^2 + 36*x^4)). - _Colin Barker_, Oct 17 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 1 of A235198.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 04 2014

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)