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A214111 Number of 0..3 colorings on an n X 8 array circular in the 8 direction with new values 0..3 introduced in row major order.

%I A214111 #6 Mar 08 2023 12:07:27
%S A214111 274,241021,214404272,191154162535,170522196557894,152139337430979981,
%T A214111 135743316919977662412,121115464757399493650995,
%U A214111 108064195911838596360133794,96419379334610535129230711641
%N A214111 Number of 0..3 colorings on an n X 8 array circular in the 8 direction with new values 0..3 introduced in row major order.
%C A214111 Column 7 of A214112.
%H A214111 R. H. Hardin, <a href="/A214111/b214111.txt">Table of n, a(n) for n = 1..106</a>
%F A214111 Empirical: a(n) = 1203*a(n-1) -297573*a(n-2) +18493097*a(n-3) -335304937*a(n-4) -2841739689*a(n-5) +143852359466*a(n-6) -1534038361818*a(n-7) +6617547976377*a(n-8) -7661483975363*a(n-9) -26503966569309*a(n-10) +78166619202873*a(n-11) -32671121962535*a(n-12) -67703780939087*a(n-13) +56706284940528*a(n-14) -5556753823232*a(n-15).
%e A214111 Some solutions for n=4
%e A214111 ..0..1..2..0..2..3..0..1....0..1..0..1..2..1..2..3....0..1..2..1..2..1..0..3
%e A214111 ..1..2..3..2..0..1..2..3....3..2..1..0..3..2..0..1....2..3..0..2..0..2..1..0
%e A214111 ..0..1..0..3..1..2..3..1....0..3..2..1..2..3..1..2....3..0..1..0..2..0..2..1
%e A214111 ..1..0..1..2..3..0..1..2....2..0..3..2..3..1..2..1....1..3..0..1..3..1..3..2
%Y A214111 Cf. A214112.
%K A214111 nonn
%O A214111 1,1
%A A214111 _R. H. Hardin_, Jul 04 2012