%I #6 Jun 18 2022 17:25:27
%S 4,18,337,5994,121778,2518082,52655411,1103993538,23172461572,
%T 486537381066,10216717221605,214546979103002,4505458523356886,
%U 94614430060611570,1986901652087170519,41724924973226947986
%N Number of 0..5 colorings of a 2 X (n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order.
%C Row 2 of A214166.
%H R. H. Hardin, <a href="/A214168/b214168.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) +49*a(n-2) -959*a(n-3) -1869*a(n-4) +7679*a(n-5) +15051*a(n-6) -6741*a(n-7) -13230*a(n-8).
%e Some solutions for n=4
%e ..0..1..0..2..1....0..1..0..2..1....0..1..0..1..2....0..1..0..1..2
%e ..1..2..1..0..2....2..3..1..4..5....1..0..1..0..3....2..3..1..0..3
%Y Cf. A214166.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 05 2012