A280156 Number of nX3 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 8, 31, 94, 305, 950, 2901, 8728, 26068, 77326, 228367, 671446, 1967328, 5745190, 16730555, 48594066, 140815777, 407186706, 1175159395, 3385527188, 9737463217, 27964574958, 80197812317, 229694924100, 657073271390, 1877519404364

Offset

1,1

Comments

Column 3 of A280161.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -7*a(n-2) -18*a(n-3) +45*a(n-4) -22*a(n-5) -38*a(n-6) +74*a(n-7) -39*a(n-8) -2*a(n-9) +4*a(n-10) +2*a(n-11) -8*a(n-12) -4*a(n-13) -a(n-14) for n>19

Example

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

Crossrefs

Cf. A280161.

Sequence in context: A294264 A367037 A007468 * A054137 A343414 A062456

Adjacent sequences: A280153 A280154 A280155 * A280157 A280158 A280159

Keyword

nonn

Author

R. H. Hardin, Dec 27 2016

Status

approved