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A186879 Number of (n+2)X9 0..3 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock 1

%I #5 Mar 31 2012 12:36:06

%S 277659,21661,37576,121144,260584,338176,443560,571984,798832,1272712,

%T 2086288,3350152,5585728,9225664,15403771,25918654,43087345,71662141,

%U 119953993,199127077,331052797,553674334,920445640,1531199242,2558915851

%N Number of (n+2)X9 0..3 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

%C Column 7 of A186881

%H R. H. Hardin, <a href="/A186879/b186879.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-3)-6*a(n-4)+3*a(n-5)+3*a(n-6)-3*a(n-7) for n>15

%e Some solutions for 4X9

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

%e ..0..0..0..0..0..0..0..0..0....3..0..0..0..0..0..0..0..1

%e ..0..0..0..0..0..0..0..0..0....0..3..0..0..0..0..0..0..0

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2011

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Last modified April 16 07:08 EDT 2024. Contains 371698 sequences. (Running on oeis4.)