A300337 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 13, 47, 255, 1272, 6780, 36498, 198531, 1088200, 5984027, 32988462, 182088665, 1005876277, 5559093240, 30731030239, 169909426328, 939499539384, 5195152803248, 28728519606270, 158867780965085, 878542696196419

Offset

1,2

Comments

Column 3 of A300342.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +6*a(n-2) -40*a(n-3) -59*a(n-4) +79*a(n-5) +97*a(n-6) -40*a(n-7) +20*a(n-8) +8*a(n-9) -44*a(n-10) -6*a(n-11) for n>13

Example

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

Crossrefs

Cf. A300342.

Sequence in context: A183775 A358287 A146806 * A353965 A355961 A135712

Adjacent sequences: A300334 A300335 A300336 * A300338 A300339 A300340

Keyword

nonn

Author

R. H. Hardin, Mar 03 2018

Status

approved