A297068 Number of nX3 0..1 arrays with no 1 adjacent to 1 king-move neighboring 1.

5, 32, 205, 1292, 8810, 60779, 419569, 2901787, 20091572, 139140477, 963653066, 6674330446, 46227713019, 320183633077, 2217668761745, 15360120851512, 106388020545263, 736869992600366, 5103745776934708, 35349819783269635

Offset

1,1

Comments

Column 3 of A297073.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +4*a(n-3) -30*a(n-4) -145*a(n-5) -69*a(n-6) +50*a(n-7) +33*a(n-8) -26*a(n-9) -7*a(n-10) -4*a(n-11)

Example

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

Crossrefs

Cf. A297073.

Sequence in context: A271165 A015541 A345684 * A024064 A164594 A305312

Adjacent sequences: A297065 A297066 A297067 * A297069 A297070 A297071

Keyword

nonn

Author

R. H. Hardin, Dec 24 2017

Status

approved