%I #6 Dec 27 2023 00:56:37
%S 452,3054973,23644611625,183912498314536,1430752433413485334,
%T 11130643973331790638169,86591682356567376541898371,
%U 673646513468251754412792158962,5240683780080621074089550798301976
%N Number of n X 6 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.
%C Column 6 of A233217.
%H R. H. Hardin, <a href="/A233215/b233215.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8117*a(n-1) -2645074*a(n-2) +156363286*a(n-3) -2788528505*a(n-4) +19055308405*a(n-5) -46305234612*a(n-6) +29884728384*a(n-7).
%e Some solutions for n=2
%e ..0..0..1..2..2..2....0..0..1..2..4..0....0..0..1..0..2..0....0..0..1..0..2..0
%e ..0..1..2..2..2..2....0..0..4..3..3..4....0..0..2..4..2..0....3..1..1..1..3..0
%Y Cf. A233217.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 06 2013