A206146 Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly three counterclockwise and three clockwise edge increases.

486, 5118, 54450, 580986, 6204438, 66274542, 707982258, 7563227466, 80796885414, 863143206558, 9220857727842, 98505357616986, 1052321399885238, 11241828565189710, 120095162925973650, 1282962828563896554

Offset

1,1

Comments

Column 4 of A206150.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) - 65*a(n-2) + 92*a(n-3) - 48*a(n-4) + 8*a(n-5).

Empirical g.f.: 6*x*(81 - 443*x + 692*x^2 - 376*x^3 + 64*x^4) / (1 - 16*x + 65*x^2 - 92*x^3 + 48*x^4 - 8*x^5). - Colin Barker, Jun 13 2018

Example

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

Crossrefs

Cf. A206150.

Sequence in context: A158325 A187860 A205240 * A128969 A223412 A097765

Adjacent sequences: A206143 A206144 A206145 * A206147 A206148 A206149

Keyword

nonn

Author

R. H. Hardin, Feb 04 2012

Status

approved