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A235297 Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). 1

%I #7 Jun 18 2022 23:38:50

%S 13376,15692,18832,25592,35936,58688,97888,187184,358016,768272,

%T 1623712,3817232,8702336,22073168,53248288,143248784,359277056,

%U 1006831952,2588024992,7443849872,19416695936,56737632848,149263917088,440317917584

%N Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

%C Column 7 of A235301.

%H R. H. Hardin, <a href="/A235297/b235297.txt">Table of n, a(n) for n = 1..110</a>

%F Empirical: a(n) = 3*a(n-1) +17*a(n-2) -57*a(n-3) -86*a(n-4) +372*a(n-5) +76*a(n-6) -972*a(n-7) +360*a(n-8) +864*a(n-9) -576*a(n-10).

%e Some solutions for n=5:

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)