A279129 Number of nX3 0..1 arrays with no element equal 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, 9, 66, 256, 820, 2551, 7491, 21131, 57971, 155551, 409876, 1064002, 2727560, 6917391, 17381168, 43320628, 107203164, 263611545, 644549767, 1567944409, 3796630655, 9154650571, 21989697066, 52634342562, 125577952504, 298716701553

Offset: 1

Author

R. H. Hardin, Dec 06 2016

Keywords

• nonn

Comments

Column 3 of A279134.

Examples

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

Links

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

Crossrefs

Cf. A279134.

Formula

Empirical: a(n) = 6*a(n-1) -11*a(n-2) +5*a(n-3) +a(n-5) +9*a(n-6) -6*a(n-7) +3*a(n-8) -5*a(n-9) -a(n-11) for n>17