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A214107 Number of 0..3 colorings on an n X 4 array circular in the 4 direction with new values 0..3 introduced in row major order.

%I A214107 #11 Feb 18 2024 04:32:06
%S A214107 4,111,3502,110985,3517864,111505491,3534382642,112029109005,
%T A214107 3550979773324,112555187335671,3567654845960182,113083736087142225,
%U A214107 3584408223207742384,113614766854701858651,3601240272765698000122
%N A214107 Number of 0..3 colorings on an n X 4 array circular in the 4 direction with new values 0..3 introduced in row major order.
%H A214107 R. H. Hardin, <a href="/A214107/b214107.txt">Table of n, a(n) for n = 1..210</a>
%F A214107 Empirical: a(n) = 35*a(n-1) -107*a(n-2) +73*a(n-3).
%F A214107 Empirical g.f.: -x*(5*x-1)*(9*x-4) / ( (x-1)*(73*x^2-34*x+1) ). - _R. J. Mathar_, Jul 04 2012
%e A214107 Some solutions for n=4:
%e A214107 ..0..1..2..1....0..1..2..1....0..1..2..1....0..1..2..1....0..1..0..1
%e A214107 ..2..0..1..3....1..2..1..2....1..0..1..2....3..0..3..2....1..0..1..0
%e A214107 ..1..3..0..2....0..3..0..3....2..3..2..0....0..1..0..3....0..1..2..3
%e A214107 ..2..0..2..3....1..0..2..0....0..1..0..1....3..2..1..2....3..0..3..1
%Y A214107 Column 3 of A214112.
%K A214107 nonn
%O A214107 1,1
%A A214107 _R. H. Hardin_, Jul 04 2012