A214232 - OEIS

%I #9 Jul 22 2018 08:43:55

%S 1,18,1067,133265,24424881,5178830173,1151035900897,259584805701645,

%T 58806396062245961,13340621358732645053,3027723874239883897377,

%U 687250964692442612386525,156002963224427877529575241

%N Number of 0..7 colorings of an n X 3 array circular in the 3 direction with new values 0..7 introduced in row major order.

%C Column 2 of A214238.

%H R. H. Hardin, <a href="/A214232/b214232.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 343*a(n-1) - 29965*a(n-2) + 856493*a(n-3) - 7269038*a(n-4) + 11346368*a(n-5).

%F Empirical g.f.: x*(1 - 325*x + 24858*x^2 - 549839*x^3 + 2539805*x^4) / ((1 - 2*x)*(1 - 11*x)*(1 - 32*x)*(1 - 71*x)*(1 - 227*x)). - _Colin Barker_, Jul 22 2018

%e Some solutions for n=4:

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

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

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

%e ..1..0..2....6..1..7....5..1..2....2..0..1....1..0..4....1..0..3....0..2..5

%Y Cf. A214238.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 08 2012