A186598 - OEIS

%I #5 Mar 31 2012 12:36:05

%S 78728809,1184226,1922661,5769381,12653493,17171973,17856813,20385141,

%T 23590989,27166341,31913637,43392285,72170517,105970461,144672021,

%U 210476109,337796493,520618896,732388035,1059900702,1658296953

%N Number of (n+3)X11 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

%C Column 8 of A186599

%H R. H. Hardin, <a href="/A186598/b186598.txt">Table of n, a(n) for n = 1..34</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>18

%e Some solutions for 5X11

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 24 2011