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A186880 Number of (n+2)X10 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 322910,25381,46624,148048,310528,414184,571984,801208,1130584,

%T 1842208,3014488,4813744,8147608,13457800,21637048,37154419,62117614,

%U 101085745,172069837,287321977,469126669,793531357,1325629774,2174290240

%N Number of (n+2)X10 0..3 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

%C Column 8 of A186881

%H R. H. Hardin, <a href="/A186880/b186880.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>16

%e Some solutions for 4X10

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)