A198977 - OEIS

%I #5 Mar 31 2012 12:36:35

%S 2,34,1835,146286,12662226,1112962873,98102456246,8651794282083,

%T 763087851014929,67305520316532514,5936469991284318525,

%U 523607833526831199696,46183202315902474606576,4073445973766659727007243

%N Number of nX3 0..5 arrays with values 0..5 introduced in row major order and no element equal to any horizontal or vertical neighbor

%C Column 3 of A198982

%H R. H. Hardin, <a href="/A198977/b198977.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 116*a(n-1) -2685*a(n-2) +21394*a(n-3) -74475*a(n-4) +117904*a(n-5) -80343*a(n-6) +18090*a(n-7)

%e Some solutions with all values from 0 to 5 for n=4

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

%e ..3..2..1....3..4..0....3..4..0....3..2..1....3..2..1....2..0..1....3..0..4

%e ..0..4..5....1..0..2....4..5..1....1..0..4....4..1..5....3..2..3....0..2..0

%e ..3..5..3....5..3..4....1..3..4....5..1..0....3..0..4....0..4..5....3..5..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 01 2011