A316955 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

4, 32, 220, 1498, 10243, 70037, 478941, 3275421, 22400407, 153196114, 1047708300, 7165282183, 49003412145, 335134684958, 2291988565129, 15674926737950, 107200940180870, 733148025596363, 5014004790884386, 34290816000118746

Offset

1,1

Comments

Column 3 of A316960.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +9*a(n-2) -14*a(n-3) -52*a(n-4) -33*a(n-5) for n>6

Example

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

Crossrefs

Cf. A316960.

Sequence in context: A120917 A305518 A298965 * A299735 A099269 A316810

Adjacent sequences: A316952 A316953 A316954 * A316956 A316957 A316958

Keyword

nonn

Author

R. H. Hardin, Jul 17 2018

Status

approved