This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A214188 #11 Mar 11 2024 23:11:04 %S A214188 1,1,4,11,41,162,714,3397,17251,92048,509444,2893683,16734381, %T A214188 97965934,578241694,3431848769,20442513431,122066210220,730058053464, %U A214188 4371040179055,26189154314401,156987015743306,941331763528754 %N A214188 Number of 0..6 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order. %C A214188 Row 1 of A214187. %H A214188 R. H. Hardin, <a href="/A214188/b214188.txt">Table of n, a(n) for n = 1..210</a> %F A214188 Empirical: a(n) = 15*a(n-1) - 79*a(n-2) + 165*a(n-3) - 64*a(n-4) - 180*a(n-5) + 144*a(n-6). %F A214188 Empirical g.f.: x*(1 - 14*x + 68*x^2 - 135*x^3 + 91*x^4) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 6*x)). - _Colin Barker_, Mar 09 2018 %e A214188 Some solutions for n=4: %e A214188 ..0..1..2..0..3.....0..1..2..0..1.....0..1..0..1..2.....0..1..2..1..2 %Y A214188 Cf. A214187. %K A214188 nonn %O A214188 1,3 %A A214188 _R. H. Hardin_, Jul 07 2012