A297080 Number of nX3 0..1 arrays with no 1 adjacent to 2 king-move neighboring 1s.

7, 30, 136, 687, 3616, 19277, 105494, 581688, 3225186, 17948354, 100058851, 558389806, 3118093632, 17417381192, 97310221239, 543726785528, 3038286542630, 16978187469678, 94877263906414, 530197383094190, 2962890508719593

Offset

1,1

Comments

Column 3 of A297085.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -a(n-3) -84*a(n-4) -148*a(n-5) -38*a(n-6) +123*a(n-7) +535*a(n-8) +532*a(n-9) +210*a(n-10) -52*a(n-11) -279*a(n-12) -638*a(n-13) -307*a(n-14) -75*a(n-15) -a(n-16) -2*a(n-17)

Example

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

Crossrefs

Cf. A297085.

Sequence in context: A220720 A024311 A210100 * A256981 A323929 A180786

Adjacent sequences: A297077 A297078 A297079 * A297081 A297082 A297083

Keyword

nonn

Author

R. H. Hardin, Dec 25 2017

Status

approved