A214098 Number of 0..2 colorings on an n X 6 array circular in the 6 direction with new values 0..2 introduced in row major order.

11, 143, 2041, 29540, 428383, 6214031, 90142852, 1307649965, 18969332317, 275177315036, 3991840859719, 57907365947207, 840029237074372, 12185826580536341, 176772858488736613, 2564343361673578460

Offset

1,1

Comments

Column 5 of A214101.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 19*a(n-1) - 71*a(n-2) + 86*a(n-3) - 24*a(n-4).

Empirical g.f.: x*(11 - 66*x + 105*x^2 - 32*x^3) / ((1 - 2*x)*(1 - 17*x + 37*x^2 - 12*x^3)). - Colin Barker, Jul 22 2018

Example

Some solutions for n=4:
..0..1..0..1..2..1....0..1..2..1..0..2....0..1..0..2..1..2....0..1..0..2..1..2
..1..0..1..2..0..2....1..2..0..2..1..0....1..2..1..0..2..0....2..0..1..0..2..0
..2..1..0..1..2..1....2..1..2..1..0..1....2..1..2..1..0..1....0..1..0..1..0..1
..1..0..1..2..0..2....1..2..0..2..1..0....1..0..1..0..2..0....1..0..2..0..1..2

Crossrefs

Cf. A214101.

Sequence in context: A221580 A024140 A029529 * A015687 A051583 A225799

Adjacent sequences: A214095 A214096 A214097 * A214099 A214100 A214101

Keyword

nonn

Author

R. H. Hardin, Jul 04 2012

Status

approved