A279379 Number of nX3 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with new values introduced in order 0 sequentially upwards.

1, 8, 35, 157, 695, 3157, 14243, 64170, 289200, 1303737, 5877136, 26492718, 119422824, 538332038, 2426684411, 10938961995, 49310440348, 222280660511, 1001992532274, 4516762839271, 20360577375094, 91781022401525

Offset

1,2

Comments

Column 3 of A279384.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +9*a(n-3) -2*a(n-4) -8*a(n-5) -10*a(n-6) -13*a(n-7) +13*a(n-8) -2*a(n-9) +10*a(n-10) +41*a(n-11) -10*a(n-12) -53*a(n-13) -27*a(n-14) +9*a(n-15) +18*a(n-16) +8*a(n-17) +a(n-18)

Example

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

Crossrefs

Cf. A279384.

Sequence in context: A189599 A302078 A320405 * A098999 A263520 A223901

Adjacent sequences: A279376 A279377 A279378 * A279380 A279381 A279382

Keyword

nonn

Author

R. H. Hardin, Dec 11 2016

Status

approved