A279305 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 1, 1, 0, 0, 0, 3, 12, 12, 3, 6, 104, 498, 104, 6, 24, 872, 14908, 14908, 872, 24, 72, 8064, 396904, 1160588, 396904, 8064, 72, 232, 71680, 10073670, 85082276, 85082276, 10073670, 71680, 232, 720, 635312, 246262496, 6048938846, 17784685668

Offset

1,7

Comments

Table starts

....0.......1..........0............3.............6............24

....1.......0.........12..........104...........872..........8064

....0......12........498........14908........396904......10073670

....3.....104......14908......1160588......85082276....6048938846

....6.....872.....396904.....85082276...17784685668.3593187600532

...24....8064...10073670...6048938846.3593187600532

...72...71680..246262496.417999641840

..232..635312.5863622944

..720.5554240

.2232

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) -6*a(n-2) -16*a(n-3) +12*a(n-4) +24*a(n-5) +8*a(n-6) for n>8

k=2: [order 15] for n>16

k=3: [order 51] for n>54

Example

Some solutions for n=3 k=4
..0..0..1..1. .0..1..1..0. .0..1..1..1. .0..0..1..0. .0..1..1..0
..1..0..1..0. .2..1..1..2. .2..2..0..1. .1..1..0..0. .2..0..2..1
..2..2..0..1. .2..0..1..0. .1..0..0..2. .1..0..2..2. .0..0..0..2

Crossrefs

Sequence in context: A182455 A110345 A018999 * A217785 A168410 A085272

Adjacent sequences: A279302 A279303 A279304 * A279306 A279307 A279308

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2016

Status

approved