A185926 - OEIS

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

%S 3392,130944,5113920,199644672,7794298816,304295071104,11879903064384,

%T 463800149161728,18107098487806016,706914428967789184,

%U 27598458655461285312,1077464102208099420416,42064990145791861161664

%N Number of (n+1)X3 0..3 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace

%C Column 2 of A185933

%H R. H. Hardin, <a href="/A185926/b185926.txt">Table of n, a(n) for n = 1..185</a>

%F Empirical: a(n)=15*a(n-1)+802*a(n-2)+5776*a(n-3)-13280*a(n-4)-165446*a(n-5)+218470*a(n-6)+1834338*a(n-7)-3769241*a(n-8)-5737257*a(n-9)+23686220*a(n-10)-22060678*a(n-11)-960030*a(n-12)+11338144*a(n-13)-3603928*a(n-14)-1266192*a(n-15)+533376*a(n-16)-43200*a(n-17)

%e Some solutions for 5X3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 06 2011