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A234562 Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). 1

%I #6 Jun 20 2022 19:32:11

%S 17518,24420,33946,57210,94114,187686,358450,810702,1742578,4339470,

%T 10208626,27473790,69051154,197748366,520464850,1563624222,4244422258,

%U 13213530990,36597846706,116923590270,328074294994,1067947652046

%N Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

%H R. H. Hardin, <a href="/A234562/b234562.txt">Table of n, a(n) for n = 1..141</a>

%F Empirical: a(n) = 4*a(n-1) +30*a(n-2) -132*a(n-3) -331*a(n-4) +1720*a(n-5) +1530*a(n-6) -11280*a(n-7) -1324*a(n-8) +39136*a(n-9) -12360*a(n-10) -67968*a(n-11) +39456*a(n-12) +46080*a(n-13) -34560*a(n-14).

%e Some solutions for n=5:

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

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

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

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

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

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

%Y Column 6 of A234564.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2013

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Last modified June 24 19:44 EDT 2024. Contains 373690 sequences. (Running on oeis4.)