%I #4 Jul 07 2012 06:58:55

%S 11,7434,21418431,76892349394,282135060192286,1037404464993610934,

%T 3815299253956873853106,14031944174294607018138494,

%U 51606920496933612048613391186,189800837547185166387283413516334

%N Number of 0..6 colorings of an nX5 array circular in the 5 direction with new values 0..6 introduced in row major order

%C Column 4 of A214187

%H R. H. Hardin, <a href="/A214183/b214183.txt">Table of n, a(n) for n = 1..106</a>

%F Empirical: a(n) = 4178*a(n-1) -1895863*a(n-2) +209149752*a(n-3) -7928550662*a(n-4) +84119844576*a(n-5) -298704239064*a(n-6) +219967475904*a(n-7)

%e Some solutions for n=4

%e ..0..1..0..1..2....0..1..0..1..2....0..1..2..0..1....0..1..2..0..1

%e ..1..3..4..5..4....1..2..1..0..3....1..0..1..2..3....1..3..4..1..4

%e ..5..1..0..1..6....0..1..2..1..2....0..1..2..1..2....0..1..0..2..1

%e ..2..4..1..4..1....1..2..3..2..3....3..4..0..5..4....1..2..3..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 07 2012