A210399 - OEIS

%I #5 Mar 31 2012 12:37:33

%S 549,29647,1596154,85979301,4631193134,249456180709,13436785945910,

%T 723763304576749,38985016148233742,2099901274580672917,

%U 113109748262417625254,6092579354615210957373,328172626696350857253566

%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

%C Column 3 of A210404

%H R. H. Hardin, <a href="/A210399/b210399.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 65*a(n-1) -483*a(n-2) -7397*a(n-3) +54220*a(n-4) +315572*a(n-5) -1567384*a(n-6) -4952640*a(n-7) +15991008*a(n-8) +21762048*a(n-9) -51440128*a(n-10) -13774848*a(n-11) +33619968*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 21 2012