|
%I #5 Mar 31 2012 12:37:06
%S 110,1750,30904,544616,9559986,168343322,2962323362,52122083398,
%T 917209854720,16139793469264,284005789280926,4997567530607882,
%U 87940560143331102,1547461583558930150,27230185748432646344
%N Number of (n+1)X3 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order
%C Column 2 of A205352
%H R. H. Hardin, <a href="/A205348/b205348.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +108*a(n-2) +739*a(n-3) +534*a(n-4) -2929*a(n-5) +8365*a(n-6) +5012*a(n-7) -23096*a(n-8) -13776*a(n-9)
%e Some solutions for n=4
%e ..0..0..1....0..1..1....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..0..0..1....0..0..2....2..3..0....1..2..0....0..0..1....1..0..0....1..1..2
%e ..0..1..2....2..1..0....1..1..2....3..1..1....1..2..3....0..1..2....1..1..2
%e ..1..3..3....2..1..2....1..3..2....0..1..2....0..1..3....2..1..1....2..1..0
%e ..0..3..1....3..1..1....3..2..2....1..1..0....2..1..1....3..2..3....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 26 2012
| 