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A214144 Number of 0..4 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..4 introduced in row major order.

%I A214144 #6 Jul 22 2025 23:10:26
%S A214144 33,514,28278,1101051,47730973,2000093424,84746307320,3577656763765,
%T A214144 151219261926083,6389075487200098,269978080214894342,
%U A214144 11407722800807664903,482032317577423439601,20368126430994060884676
%N A214144 Number of 0..4 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..4 introduced in row major order.
%C A214144 Row 3 of A214141
%H A214144 R. H. Hardin, <a href="/A214144/b214144.txt">Table of n, a(n) for n = 1..210</a>
%F A214144 Empirical: a(n) = 29*a(n-1) +667*a(n-2) -3517*a(n-3) -48855*a(n-4) +260073*a(n-5) +877261*a(n-6) -6916959*a(n-7) +3304148*a(n-8) +50505862*a(n-9) -103934388*a(n-10) +3498864*a(n-11) +137456208*a(n-12) -66186464*a(n-13) -37655040*a(n-14) +18842112*a(n-15)
%e A214144 Some solutions for n=4
%e A214144 ..0..1..0..1..2....0..1..0..1..2....0..1..2..0..1....0..1..2..3..4
%e A214144 ..2..3..4..2..3....2..3..1..2..3....1..2..0..3..2....2..4..1..0..3
%e A214144 ..3..4..2..3..2....4..0..4..0..1....2..0..1..2..0....3..1..2..3..4
%K A214144 nonn
%O A214144 1,1
%A A214144 _R. H. Hardin_ Jul 05 2012