A300262 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 26, 95, 375, 1526, 6198, 25034, 101312, 410252, 1660983, 6724306, 27224178, 110221701, 446249130, 1806706543, 7314734637, 29614856373, 119900405862, 485435683612, 1965362943182, 7957081971789, 32215501878934, 130429542917213

Offset

1,1

Comments

Column 3 of A300267.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-2) +4*a(n-3) -16*a(n-4) -3*a(n-5) +32*a(n-6) +13*a(n-7) +28*a(n-8) -91*a(n-9) +46*a(n-10) +5*a(n-11) +79*a(n-12) -38*a(n-13) -24*a(n-14) -22*a(n-15) -23*a(n-16) -7*a(n-17) +4*a(n-18) for n>19

Example

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

Crossrefs

Cf. A300267.

Sequence in context: A299003 A299670 A299748 * A359254 A222663 A267675

Adjacent sequences: A300259 A300260 A300261 * A300263 A300264 A300265

Keyword

nonn

Author

R. H. Hardin, Mar 01 2018

Status

approved