A299649 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

4, 32, 247, 1924, 14981, 116654, 908360, 7073213, 55077652, 428878329, 3339587196, 26004677512, 202493066595, 1576771794248, 12277997133149, 95606234301950, 744466050795960, 5797003771085993, 45140074132400664, 351496458022297409

Offset

1,1

Comments

Column 3 of A299654.

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) +9*a(n-3) -a(n-4) -6*a(n-5)

Example

Some solutions for n=5
..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..1. .0..0..1. .0..1..0
..0..0..1. .0..1..1. .0..1..0. .1..0..0. .0..1..0. .0..1..1. .1..0..0
..0..0..1. .1..1..1. .1..1..1. .0..1..0. .0..1..1. .0..0..0. .1..1..0
..1..0..1. .0..1..0. .1..1..0. .1..0..0. .0..1..1. .1..0..1. .0..1..0
..1..1..0. .1..1..0. .0..0..1. .0..0..0. .1..0..1. .0..0..1. .1..0..1

Crossrefs

Cf. A299654.

Sequence in context: A370044 A147551 A316803 * A317520 A300203 A273053

Adjacent sequences: A299646 A299647 A299648 * A299650 A299651 A299652

Keyword

nonn

Author

R. H. Hardin, Feb 15 2018

Status

approved