%I #5 Mar 31 2012 12:37:25
%S 15,1798,307165,52947540,9130195864,1574432811027,271499374919883,
%T 46818078167209471,8073434644321782464,1392204668383719239473,
%U 240075497495975972163390,41399261047580372916745574
%N Number of nX4 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
%C Column 4 of A208872
%H R. H. Hardin, <a href="/A208868/b208868.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 198*a(n-1) -4637*a(n-2) +40574*a(n-3) -164314*a(n-4) +321776*a(n-5) -281785*a(n-6) +85300*a(n-7) -8100*a(n-8) for n>9
%e Some solutions for n=4
%e ..0..0..1..0....0..1..1..2....0..1..0..0....0..0..1..2....0..0..0..1
%e ..1..2..2..0....0..2..0..0....2..2..1..2....1..3..3..0....1..1..2..0
%e ..2..3..3..0....0..1..3..0....1..2..3..2....1..0..1..2....0..1..1..3
%e ..1..2..3..2....1..2..2..0....0..3..0..0....1..2..0..0....3..0..3..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 02 2012
|