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Number of (n+1)X6 0..3 arrays with every 2X3 or 3X2 subblock having exactly two clockwise edge increases
1

%I #5 Mar 31 2012 12:37:09

%S 1499080,11638960,101369476,1198231144,18209383140,265284773176,

%T 4049733446192,62573461436920,917675760715056,14010280271046248,

%U 216457465434893144,3174532407620493840,48466452496861296696

%N Number of (n+1)X6 0..3 arrays with every 2X3 or 3X2 subblock having exactly two clockwise edge increases

%C Column 5 of A206063

%H R. H. Hardin, <a href="/A206060/b206060.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3457*a(n-3) +526*a(n-5) for n>14

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 03 2012