A206754 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order.

14, 106, 861, 7010, 56970, 463064, 3764188, 30597928, 248720792, 2021775088, 16434387520, 133590069408, 1085912510000, 8827048192048, 71752354780224, 583252782273232, 4741082144156272, 38538795836723584, 313269996043880464

Offset

1,1

Comments

Column 1 of A206761.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) + 5*a(n-2) + 34*a(n-3) - 2*a(n-4) + 12*a(n-5) for n>6.

Empirical g.f.: x*(14 + 8*x + 49*x^2 - 23*x^3 + 19*x^4 - 6*x^5) / (1 - 7*x - 5*x^2 - 34*x^3 + 2*x^4 - 12*x^5). - Colin Barker, Jun 17 2018

Example

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

Crossrefs

Cf. A206761.

Sequence in context: A125351 A126509 A200056 * A099300 A038735 A181378

Adjacent sequences: A206751 A206752 A206753 * A206755 A206756 A206757

Keyword

nonn

Author

R. H. Hardin, Feb 12 2012

Status

approved