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 A186134 Number of (n+1)X3 0..2 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace 1

%I #5 Mar 31 2012 12:36:04

%S 558,7686,107874,1512792,21216780,297562572,4173269994,58529531286,

%T 820868250834,11512560545838,161462017434114,2264481777843414,

%U 31759033884174810,445415920910137998,6246894759422576778

%N Number of (n+1)X3 0..2 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

%C Column 2 of A186141

%H R. H. Hardin, <a href="/A186134/b186134.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=5*a(n-1)+114*a(n-2)+216*a(n-3)-524*a(n-4)-516*a(n-5)+876*a(n-6)-276*a(n-7)+216*a(n-8)-72*a(n-9)

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 13 2011

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Last modified August 13 02:28 EDT 2024. Contains 375113 sequences. (Running on oeis4.)