A305518 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

4, 32, 219, 1482, 10082, 68603, 466858, 3177374, 21625010, 147179480, 1001703378, 6817595812, 46400585436, 315802597912, 2149353979808, 14628513490716, 99561733170096, 677617635277016, 4611868889066792, 31388401871930176

Offset

1,1

Comments

Column 3 of A305523.

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) -10*a(n-3) -44*a(n-4) -30*a(n-5) for n>6

Example

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

Crossrefs

Cf. A305523.

Sequence in context: A133642 A098981 A120917 * A298965 A316955 A299735

Adjacent sequences: A305515 A305516 A305517 * A305519 A305520 A305521

Keyword

nonn

Author

R. H. Hardin, Jun 04 2018

Status

approved