A317460 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 5, 16, 107, 636, 3893, 23769, 145280, 887980, 5428139, 33181694, 202838254, 1239944574, 7579749355, 46334824959, 283243696481, 1731462085879, 10584387302544, 64702112676461, 395522505704920, 2417819853246711

Offset

1,2

Comments

Column 3 of A317465.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +8*a(n-2) +2*a(n-3) -48*a(n-4) -62*a(n-5) +35*a(n-6) +62*a(n-7) +5*a(n-8) -25*a(n-9) +2*a(n-10) +14*a(n-11) +4*a(n-12) for n>14

Example

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

Crossrefs

Cf. A317465.

Sequence in context: A332625 A307953 A304762 * A341436 A263906 A160739

Adjacent sequences: A317457 A317458 A317459 * A317461 A317462 A317463

Keyword

nonn

Author

R. H. Hardin, Jul 28 2018

Status

approved