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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.
1

%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