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%I #4 Jul 08 2012 07:42:32
%S 11,7749,35910351,283323771619,2440058302217191,21284607690377676689,
%T 186014154011114838330931,1626099752980474200170964309,
%U 14215638367039562675161610116971,124276276119905578738815409505646829
%N Number of 0..7 colorings of an nX5 array circular in the 5 direction with new values 0..7 introduced in row major order
%C Column 4 of A214238
%H R. H. Hardin, <a href="/A214234/b214234.txt">Table of n, a(n) for n = 1..65</a>
%F Empirical: a(n) = 10629*a(n-1) -17350472*a(n-2) +7613269646*a(n-3) -1150563633112*a(n-4) +68845322541884*a(n-5) -1602676444724896*a(n-6) +14117645719614888*a(n-7) -45952444522339344*a(n-8) +33030412555840128*a(n-9)
%e Some solutions for n=4
%e ..0..1..0..1..2....0..1..0..1..2....0..1..0..2..1....0..1..0..1..2
%e ..1..2..1..0..3....1..2..1..2..0....1..0..1..3..0....1..2..1..0..3
%e ..2..0..2..1..4....2..0..2..0..3....2..1..2..0..1....0..1..2..4..2
%e ..0..1..3..0..5....0..2..3..1..2....1..4..3..1..3....1..3..4..1..3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 08 2012