A206595 - OEIS

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

%S 171,9449,551631,32258200,1886206112,110294918412,6449441361133,

%T 377127604356885,22052335771550411,1289498594172126400,

%U 75402743530876523488,4409135271445054483412,257821836876089274588349

%N Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..3 introduced in row major order

%C Column 2 of A206600

%H R. H. Hardin, <a href="/A206595/b206595.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 51*a(n-1) +353*a(n-2) +4958*a(n-3) -2678*a(n-4) +14656*a(n-5) -160635*a(n-6) +19303*a(n-7) -859799*a(n-8) +242534*a(n-9) +14671*a(n-10) +3134369*a(n-11) +2183000*a(n-12) +2077689*a(n-13) -573423*a(n-14) -682544*a(n-15) -455304*a(n-16)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 09 2012