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A214104 Number of 0..2 colorings of a 5 X (n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order.

%I A214104 #8 Nov 03 2014 01:54:08
%S A214104 81,16,4913,6480,428383,1262128,41634729,190532944,4254090231,
%T A214104 25595530224,448363485787,3231395138192,48307812545787,
%U A214104 393486251977776,5289839833178345,46862146728089808,586190042199419197
%N A214104 Number of 0..2 colorings of a 5 X (n+1) array circular in the n+1 direction with new values 0..2 introduced in row major order.
%C A214104 Row 5 of A214101.
%H A214104 R. H. Hardin, <a href="/A214104/b214104.txt">Table of n, a(n) for n = 1..210</a>
%F A214104 Empirical: a(n) = 15*a(n-1) +56*a(n-2) -1688*a(n-3) +4037*a(n-4) +44693*a(n-5) -203873*a(n-6) -312833*a(n-7) +2832059*a(n-8) -909541*a(n-9) -17058886*a(n-10) +18627946*a(n-11) +50511099*a(n-12) -83121717*a(n-13) -71958333*a(n-14) +176504835*a(n-15) +32625006*a(n-16) -199821666*a(n-17) +30366700*a(n-18) +122944620*a(n-19) -43577864*a(n-20) -39520072*a(n-21) +20445664*a(n-22) +5749984*a(n-23) -4391680*a(n-24) -152320*a(n-25) +420352*a(n-26) -34304*a(n-27) -14336*a(n-28) +2048*a(n-29).
%e A214104 Some solutions for n=4:
%e A214104 ..0..1..0..2..1....0..1..2..0..1....0..1..2..0..1....0..1..2..1..2
%e A214104 ..2..0..2..1..0....1..2..0..1..2....1..2..1..2..0....1..2..1..2..0
%e A214104 ..0..1..0..2..1....2..0..1..2..0....0..1..2..0..1....0..1..2..1..2
%e A214104 ..2..0..2..1..0....0..2..0..1..2....2..0..1..2..0....1..2..0..2..0
%e A214104 ..1..2..1..0..2....1..0..1..2..0....1..2..0..1..2....0..1..2..0..2
%Y A214104 Cf. A214101.
%K A214104 nonn
%O A214104 1,1
%A A214104 _R. H. Hardin_, Jul 04 2012