login
A214181
Number of 0..6 colorings of an n X 3 array circular in the 3 direction with new values 0..6 introduced in row major order.
1
1, 18, 1046, 108893, 13701111, 1808609113, 241491378451, 32332391658753, 4331663509964171, 580414863999963833, 77774694477831007731, 10421780348518296089713, 1396517647955429913843931
OFFSET
1,2
COMMENTS
Column 2 of A214187.
LINKS
FORMULA
Empirical: a(n) = 179*a(n-1) - 6468*a(n-2) + 59396*a(n-3) - 94336*a(n-4).
Conjectures from Colin Barker, Jul 22 2018: (Start)
G.f.: x*(1 - 161*x + 4292*x^2 - 21313*x^3) / ((1 - 2*x)*(1 - 11*x)*(1 - 32*x)*(1 - 134*x)).
a(n) = (2^(n-4)*(67^(n-1)+9) + 11^(n-1) + 3*2^(5*n-7))/3.
(End)
EXAMPLE
Some solutions for n=4:
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..1..0..3....1..0..3....3..0..1....1..2..3....1..2..3....1..2..3....1..0..3
..3..4..1....0..3..1....0..1..2....3..0..1....0..1..4....0..1..4....3..4..0
..4..0..2....1..4..0....1..0..3....4..1..5....4..2..0....1..0..5....0..5..1
CROSSREFS
Cf. A214187.
Sequence in context: A363103 A073960 A095786 * A275653 A214232 A146197
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 07 2012
STATUS
approved