A282833 Number of nX3 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.

0, 0, 18, 201, 1019, 6472, 34464, 176355, 887369, 4302058, 20526930, 96271353, 445135927, 2035082204, 9209605924, 41317597035, 183957537513, 813511053478, 3576027441566, 15634929421921, 68026641477831, 294677794352560

Offset

1,3

Comments

Column 3 of A282838.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +6*a(n-2) -40*a(n-3) -147*a(n-4) +90*a(n-5) +690*a(n-6) +1104*a(n-7) +153*a(n-8) -358*a(n-9) -534*a(n-10) +216*a(n-11) -617*a(n-12) +606*a(n-13) -330*a(n-14) +224*a(n-15) -84*a(n-16) +24*a(n-17) -8*a(n-18)

Example

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

Crossrefs

Cf. A282838.

Sequence in context: A181961 A250317 A250558 * A181400 A282020 A277763

Adjacent sequences: A282830 A282831 A282832 * A282834 A282835 A282836

Keyword

nonn

Author

R. H. Hardin, Feb 22 2017

Status

approved