A214169 - OEIS

%I #4 Jul 05 2012 21:35:57

%S 34,902,88261,7386816,655418810,57661437162,5087962926669,

%T 448703414185598,39577633233692734,3490791894924911324,

%U 307895065966510710253,27156913603466334950340,2395291575734302273574146

%N 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 Row 3 of A214166

%H R. H. Hardin, <a href="/A214169/b214169.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

%e ..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..2..0..2

%e ..1..2..3..4..5....1..0..1..0..3....3..0..3..2..0....1..2..0..2..0

%e ..3..1..2..3..2....0..1..3..4..5....4..5..0..1..2....2..1..2..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 05 2012