A299062 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 18, 141, 993, 7330, 54106, 398654, 2937795, 21650600, 159556133, 1175862733, 8665626722, 63862119016, 470637646700, 3468406597875, 25560735353400, 188372145331363, 1388225520347031, 10230653220855076, 75395721942360742

Offset

1,2

Comments

Column 3 of A299067.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +8*a(n-2) +14*a(n-3) +11*a(n-4) -4*a(n-5) +3*a(n-6) +2*a(n-7) -5*a(n-8) -2*a(n-9) for n>10

Example

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

Crossrefs

Cf. A299067.

Sequence in context: A108680 A204273 A081074 * A299723 A125355 A299834

Adjacent sequences: A299059 A299060 A299061 * A299063 A299064 A299065

Keyword

nonn

Author

R. H. Hardin, Feb 01 2018

Status

approved