A279153 Number of nX3 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 4, 20, 72, 255, 874, 2903, 9336, 29578, 92528, 285992, 875912, 2662819, 8042606, 24156735, 72211820, 214959872, 637526372, 1884571600, 5554575752, 16328272725, 47884030342, 140118979793, 409205295972, 1192876666588, 3471548282192

Offset

1,1

Comments

Column 3 of A279158.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -24*a(n-2) +44*a(n-3) -90*a(n-4) +158*a(n-5) -168*a(n-6) +208*a(n-7) -261*a(n-8) +128*a(n-9) -149*a(n-10) +188*a(n-11) -12*a(n-12) +162*a(n-13) -130*a(n-14) -56*a(n-15) -80*a(n-16) +31*a(n-18) +56*a(n-19) +4*a(n-20) -16*a(n-21) -4*a(n-22) for n>23

Example

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

Crossrefs

Cf. A279158.

Sequence in context: A238229 A192377 A286344 * A204550 A009291 A081440

Adjacent sequences: A279150 A279151 A279152 * A279154 A279155 A279156

Keyword

nonn

Author

R. H. Hardin, Dec 06 2016

Status

approved