A281797 Number of nX3 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 6, 75, 324, 865, 2272, 5191, 11141, 22705, 44611, 85366, 160212, 296306, 541784, 981579, 1764938, 3153155, 5602160, 9905073, 17437719, 30580597, 53442733, 93101164, 161719796, 280165812, 484172898, 834830159, 1436409132, 2466624753

Offset

1,2

Comments

Column 3 of A281802.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +5*a(n-3) +12*a(n-4) -12*a(n-5) -3*a(n-6) +6*a(n-7) -a(n-9) for n>16

Example

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

Crossrefs

Cf. A281802.

Sequence in context: A069852 A266574 A258270 * A049235 A129031 A234529

Adjacent sequences: A281794 A281795 A281796 * A281798 A281799 A281800

Keyword

nonn

Author

R. H. Hardin, Jan 30 2017

Status

approved