A279867 Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 33, 176, 824, 3199, 11983, 42296, 143968, 476675, 1543667, 4909096, 15379744, 47578031, 145603087, 441441920, 1327480296, 3963270819, 11757089555, 34678442976, 101761151096, 297221474943, 864446263551, 2504466596040

Offset

1,2

Comments

Column 3 of A279871.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -13*a(n-2) -3*a(n-3) +13*a(n-4) +11*a(n-5) +29*a(n-6) -49*a(n-7) -8*a(n-8) -38*a(n-9) +28*a(n-10) +8*a(n-11) +16*a(n-12) for n>18

Example

Some solutions for n=4
..0..1..1. .0..0..0. .0..0..0. .0..1..1. .0..0..1. .0..0..1. .0..0..1
..0..1..2. .1..2..2. .0..0..1. .1..1..1. .1..0..1. .0..0..0. .1..1..1
..1..1..2. .2..2..2. .0..0..0. .1..1..0. .0..0..0. .2..2..2. .1..1..0
..1..1..2. .2..0..2. .1..1..1. .1..1..1. .0..0..0. .2..2..2. .1..1..1

Crossrefs

Cf. A279871.

Sequence in context: A113752 A155883 A071914 * A230650 A231360 A046142

Adjacent sequences: A279864 A279865 A279866 * A279868 A279869 A279870

Keyword

nonn

Author

R. H. Hardin, Dec 21 2016

Status

approved