%I #5 Mar 31 2012 12:37:16
%S 26,676,15390,347502,7791488,174545777,3908531208,87515884741,
%T 1959513380192,43873997112932,982347997376840,21994968695108692,
%U 492471697249839464,11026538323840183371,246886363177103814747
%N Number of nX3 0..2 arrays avoiding the pattern z-2 z-1 z in any row, column or nw-to-se diagonal
%C Column 3 of A207317
%H R. H. Hardin, <a href="/A207312/b207312.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 27*a(n-1) -43*a(n-2) -1591*a(n-3) +4195*a(n-4) +31861*a(n-5) -81210*a(n-6) -248372*a(n-7) +529289*a(n-8) +552322*a(n-9) -1158991*a(n-10) -641935*a(n-11) +1301158*a(n-12) +424638*a(n-13) -829889*a(n-14) -156675*a(n-15) +298360*a(n-16) +28115*a(n-17) -53314*a(n-18) -1015*a(n-19) +2751*a(n-20) +80*a(n-21) -64*a(n-22)
%e Some solutions for n=4
%e ..2..0..1....2..1..2....1..2..1....2..1..0....2..0..2....1..0..1....2..2..1
%e ..0..0..2....1..2..1....1..1..1....0..1..1....1..1..1....2..0..2....2..0..0
%e ..1..1..2....0..2..1....1..0..1....1..0..0....1..0..0....0..2..2....2..0..0
%e ..0..0..1....1..1..2....2..1..2....1..2..2....1..2..2....2..0..2....2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 16 2012