A208563 - OEIS

%I #5 Mar 31 2012 12:37:23

%S 14,464,16608,600426,21758476,788922798,28608436530,1037446303548,

%T 37621813069386,1364314106628550,49475379592575628,

%U 1794171379245008334,65063694331223004978,2359464864203438340188,85563454475454135771530

%N Number of nX4 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors

%C Column 4 of A208567

%H R. H. Hardin, <a href="/A208563/b208563.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 61*a(n-1) -1124*a(n-2) +9139*a(n-3) -34187*a(n-4) +44684*a(n-5) +35628*a(n-6) -128720*a(n-7) +102352*a(n-8) -44832*a(n-9) +17472*a(n-10) for n>11

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2012