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A214098 Number of 0..2 colorings on an n X 6 array circular in the 6 direction with new values 0..2 introduced in row major order.

%I A214098 #9 Jul 22 2018 06:42:27
%S A214098 11,143,2041,29540,428383,6214031,90142852,1307649965,18969332317,
%T A214098 275177315036,3991840859719,57907365947207,840029237074372,
%U A214098 12185826580536341,176772858488736613,2564343361673578460
%N A214098 Number of 0..2 colorings on an n X 6 array circular in the 6 direction with new values 0..2 introduced in row major order.
%C A214098 Column 5 of A214101.
%H A214098 R. H. Hardin, <a href="/A214098/b214098.txt">Table of n, a(n) for n = 1..210</a>
%F A214098 Empirical: a(n) = 19*a(n-1) - 71*a(n-2) + 86*a(n-3) - 24*a(n-4).
%F A214098 Empirical g.f.: x*(11 - 66*x + 105*x^2 - 32*x^3) / ((1 - 2*x)*(1 - 17*x + 37*x^2 - 12*x^3)). - _Colin Barker_, Jul 22 2018
%e A214098 Some solutions for n=4:
%e A214098 ..0..1..0..1..2..1....0..1..2..1..0..2....0..1..0..2..1..2....0..1..0..2..1..2
%e A214098 ..1..0..1..2..0..2....1..2..0..2..1..0....1..2..1..0..2..0....2..0..1..0..2..0
%e A214098 ..2..1..0..1..2..1....2..1..2..1..0..1....2..1..2..1..0..1....0..1..0..1..0..1
%e A214098 ..1..0..1..2..0..2....1..2..0..2..1..0....1..0..1..0..2..0....1..0..2..0..1..2
%Y A214098 Cf. A214101.
%K A214098 nonn
%O A214098 1,1
%A A214098 _R. H. Hardin_, Jul 04 2012