A282857 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors.

7, 31, 131, 583, 2562, 11250, 49471, 217459, 955873, 4201865, 18470437, 81191949, 356902120, 1568863280, 6896378669, 30314967625, 133257945179, 585772685663, 2574928188347, 11318819287751, 49755045854138, 218712263620846

Offset

1,1

Comments

Column 3 of A282862.

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-2) +20*a(n-3) +23*a(n-4) +15*a(n-5) +5*a(n-6) -3*a(n-7) -8*a(n-8) -2*a(n-9) +a(n-11)

Example

Some solutions for n=4
..0..1..0. .1..1..0. .1..0..0. .0..0..0. .0..0..0. .1..1..0. .0..1..0
..0..0..0. .0..0..0. .0..0..0. .1..1..0. .0..1..0. .0..0..0. .1..0..0
..1..0..1. .0..1..0. .0..0..1. .0..0..0. .0..0..1. .0..1..0. .0..0..1
..1..0..1. .1..0..0. .0..0..1. .0..0..1. .1..0..1. .1..0..1. .0..1..0

Crossrefs

Cf. A282862.

Sequence in context: A033474 A001896 A262630 * A296573 A180147 A044049

Adjacent sequences: A282854 A282855 A282856 * A282858 A282859 A282860

Keyword

nonn

Author

R. H. Hardin, Feb 23 2017

Status

approved