A299084 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

4, 26, 92, 354, 1387, 5470, 21484, 84425, 331838, 1304618, 5128566, 20161270, 79257643, 311578924, 1224880378, 4815257718, 18929769479, 74416841347, 292547978257, 1150066574420, 4521149390460, 17773572810348, 69871588449166

Offset

1,1

Comments

Column 3 of A299089.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +9*a(n-4) -23*a(n-5) +30*a(n-6) -23*a(n-7) +24*a(n-8) -64*a(n-9) -12*a(n-10) +66*a(n-11) +38*a(n-12) -37*a(n-13) -44*a(n-14) +4*a(n-15) +22*a(n-16) +8*a(n-17) for n>19

Example

Some solutions for n=6
..0..0..1. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..1..0..0. .1..1..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .1..0..0. .1..0..0. .1..1..0. .1..0..0. .1..1..0
..0..1..1. .0..0..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .0..0..0. .0..1..1. .0..1..1. .0..0..1. .0..1..1. .0..0..1
..1..0..0. .1..1..0. .0..1..1. .1..0..1. .1..0..0. .1..1..0. .0..1..0

Crossrefs

Cf. A299089.

Sequence in context: A100207 A172123 A298190 * A245457 A299340 A299847

Adjacent sequences: A299081 A299082 A299083 * A299085 A299086 A299087

Keyword

nonn

Author

R. H. Hardin, Feb 02 2018

Status

approved