%I #5 Mar 31 2012 12:37:23
%S 187,658450,2540446156,9810325806914,37884515848419250,
%T 146298576850884166522,564960990903273888822194,
%U 2181708996196484728947116626,8425102300382037852914721068050
%N Number of nX6 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
%C Column 6 of A208408
%H R. H. Hardin, <a href="/A208406/b208406.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3934*a(n-1) -280797*a(n-2) +6155504*a(n-3) -54994340*a(n-4) +272040900*a(n-5) -839264272*a(n-6) +1746698176*a(n-7) -2573895744*a(n-8) +2742227712*a(n-9) -2077701120*a(n-10) +970113024*a(n-11) -191102976*a(n-12) for n>13
%e Some solutions for n=4
%e ..0..0..0..0..0..0....0..1..1..0..0..0....0..1..0..0..2..2....0..0..0..0..0..0
%e ..1..2..1..0..1..3....0..1..1..0..2..1....1..2..1..1..3..2....0..1..1..0..2..1
%e ..1..3..3..1..1..3....1..2..0..3..2..3....0..3..3..0..1..3....0..1..0..2..2..1
%e ..0..1..0..0..1..0....3..0..0..2..1..3....2..1..1..2..1..1....0..3..1..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 26 2012