A304762 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

0, 5, 16, 103, 609, 3680, 22187, 133917, 808316, 4879291, 29453651, 177797086, 1073274929, 6478847051, 39109708948, 236086679225, 1425142852937, 8602908821882, 51931664514329, 313486733315663, 1892370154813176

Offset

1,2

Comments

Column 3 of A304767.

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) -a(n-3) -51*a(n-4) -45*a(n-5) +30*a(n-6) +33*a(n-7) +7*a(n-8) -13*a(n-9) -2*a(n-10) +5*a(n-11) +8*a(n-12) +2*a(n-13) for n>15

Example

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

Crossrefs

Cf. A304767.

Sequence in context: A196015 A332625 A307953 * A317460 A341436 A263906

Adjacent sequences: A304759 A304760 A304761 * A304763 A304764 A304765

Keyword

nonn

Author

R. H. Hardin, May 18 2018

Status

approved