A214232 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.

1, 18, 1067, 133265, 24424881, 5178830173, 1151035900897, 259584805701645, 58806396062245961, 13340621358732645053, 3027723874239883897377, 687250964692442612386525, 156002963224427877529575241

Offset

1,2

Comments

Column 2 of A214238.

Links

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

Formula

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

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

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

Crossrefs

Cf. A214238.

Sequence in context: A095786 A214181 A275653 * A146197 A301651 A159379

Adjacent sequences: A214229 A214230 A214231 * A214233 A214234 A214235

Keyword

nonn

Author

R. H. Hardin, Jul 08 2012

Status

approved