cp's OEIS Frontend

A214167 Number of 0..5 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order.

%I A214167 #17 Mar 15 2023 11:12:57
%S A214167 1,1,4,11,41,161,694,3151,14851,71621,350384,1729091,8577661,42686281,
%T A214167 212828074,1062335831,5306276471,26515196141,132527465764,
%U A214167 662491871371,3312023159281,16558807553201,82790113735454,413938797983711
%N A214167 Number of 0..5 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order.
%C A214167 Row 1 of A214166.
%H A214167 R. H. Hardin, <a href="/A214167/b214167.txt">Table of n, a(n) for n = 1..210</a>
%F A214167 Empirical: a(n) = 10*a(n-1) -30*a(n-2) +20*a(n-3) +31*a(n-4) -30*a(n-5).
%F A214167 Empirical: a(n) = 2^n/9 +3/16 -53*(-1)^n/144 +3^n/16 +5^n/144. - _R. J. Mathar_, Jul 09 2012
%F A214167 Empirical: G.f.: x*(1 - 9*x + 24*x^2 - 19*x^3) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 5*x)). - _Colin Barker_, Apr 22 2019
%e A214167 Some solutions for n=8
%e A214167 ..0..1..0..2..0..1..0..1..2........0..1..0..1..0..1..0..2..3
%Y A214167 Cf. A214166.
%K A214167 nonn
%O A214167 1,3
%A A214167 _R. H. Hardin_, Jul 05 2012