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%I #11 Mar 11 2024 23:11:04
%S 1,1,4,11,41,162,714,3397,17251,92048,509444,2893683,16734381,
%T 97965934,578241694,3431848769,20442513431,122066210220,730058053464,
%U 4371040179055,26189154314401,156987015743306,941331763528754
%N Number of 0..6 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order.
%C Row 1 of A214187.
%H R. H. Hardin, <a href="/A214188/b214188.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) - 79*a(n-2) + 165*a(n-3) - 64*a(n-4) - 180*a(n-5) + 144*a(n-6).
%F Empirical g.f.: x*(1 - 14*x + 68*x^2 - 135*x^3 + 91*x^4) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 6*x)). - _Colin Barker_, Mar 09 2018
%e Some solutions for n=4:
%e ..0..1..2..0..3.....0..1..2..0..1.....0..1..0..1..2.....0..1..2..1..2
%Y Cf. A214187.
%K nonn
%O 1,3
%A _R. H. Hardin_, Jul 07 2012
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