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A235277 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 5 (constant-stress 1 X 1 tilings). 1

%I #7 Jun 18 2022 23:45:12

%S 6208,8012,10088,14672,20440,33464,51800,93992,160888,317192,593048,

%T 1246472,2502520,5518664,11691800,26719112,58853368,138080072,

%U 312608408,747636872,1725115000,4182997064,9778136600,23940964232,56457574648

%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 5 (constant-stress 1 X 1 tilings).

%C Column 7 of A235280.

%H R. H. Hardin, <a href="/A235277/b235277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +15*a(n-2) -15*a(n-3) -80*a(n-4) +80*a(n-5) +180*a(n-6) -180*a(n-7) -144*a(n-8) +144*a(n-9).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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