A317460 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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