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A186478 Number of (n+1)X6 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors 1

%I #6 Mar 31 2012 12:36:05

%S 4895,3442,20224,25633,107353,108025,433513,479785,1793817,2226665,

%T 7478693,10225073,31371137,46298817,132181633,207648469,559418905,

%U 924724441,2376589225,4095459817,10129319461,18060113137,43291468321

%N Number of (n+1)X6 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors

%C Column 5 of A186482

%H R. H. Hardin, <a href="/A186478/b186478.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)+2*a(n-2)-6*a(n-3)+6*a(n-4)-3*a(n-5) for n>16

%e Some solutions for 3X6

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 22 2011

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)