A282786 Number of nX3 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly one element.

1, 8, 73, 318, 1747, 8216, 38027, 173722, 773529, 3412416, 14880845, 64319686, 276057515, 1177345064, 4994757435, 21091941082, 88706514017, 371741444080, 1552891025645, 6468454612966, 26874623008899, 111396556833528

Offset

1,2

Comments

Column 3 of A282791.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +8*a(n-2) -8*a(n-3) -78*a(n-4) -72*a(n-5) -16*a(n-6) +64*a(n-7) -33*a(n-8) +52*a(n-9) -24*a(n-10) +8*a(n-11) -4*a(n-12)

Example

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

Crossrefs

Cf. A282791.

Sequence in context: A205505 A058068 A096873 * A241630 A153482 A014991

Adjacent sequences: A282783 A282784 A282785 * A282787 A282788 A282789

Keyword

nonn

Author

R. H. Hardin, Feb 21 2017

Status

approved