A186595 - OEIS

%I #9 Jul 14 2014 02:43:32

%S 21993587,444066,1398069,5080629,11494293,12478581,12563805,12653493,

%T 12809421,13255797,15722997,19992861,36147621,56126589,101158704,

%U 151867875,238699518,338342913,520547349,732592545,1101469437,1568718489

%N Number of (n+3) X 8 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.

%C Column 5 of A186599.

%H R. H. Hardin, <a href="/A186595/b186595.txt">Table of n, a(n) for n = 1..44</a>

%F Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>15.

%e Some solutions for 5 X 8:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 24 2011