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 A214169 #6 Jul 22 2025 23:11:28 %S A214169 34,902,88261,7386816,655418810,57661437162,5087962926669, %T A214169 448703414185598,39577633233692734,3490791894924911324, %U A214169 307895065966510710253,27156913603466334950340,2395291575734302273574146 %N A214169 Number of 0..5 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..5 introduced in row major order. %C A214169 Row 3 of A214166 %H A214169 R. H. Hardin, <a href="/A214169/b214169.txt">Table of n, a(n) for n = 1..210</a> %F A214169 Empirical: a(n) = 67*a(n-1) +2324*a(n-2) -31516*a(n-3) -823431*a(n-4) +5444061*a(n-5) +84228790*a(n-6) -593193810*a(n-7) -2829906471*a(n-8) +29361035421*a(n-9) -5920653848*a(n-10) -514810627672*a(n-11) +1189252868407*a(n-12) +2543264898611*a(n-13) -12441462957938*a(n-14) +7044950862694*a(n-15) +29864975550776*a(n-16) -43278546127280*a(n-17) -9805436044288*a(n-18) +45301498197024*a(n-19) -13250017912320*a(n-20) -11125130457600*a(n-21) +4451355648000*a(n-22) %e A214169 Some solutions for n=4 %e A214169 ..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..2..0..2 %e A214169 ..1..2..3..4..5....1..0..1..0..3....3..0..3..2..0....1..2..0..2..0 %e A214169 ..3..1..2..3..2....0..1..3..4..5....4..5..0..1..2....2..1..2..0..1 %K A214169 nonn %O A214169 1,1 %A A214169 _R. H. Hardin_ Jul 05 2012