A283666 T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 403, 403, 4, 0, 0, 40, 5432, 11886, 5432, 40, 0, 0, 264, 50383, 165152, 165152, 50383, 264, 0, 0, 1504, 376594, 1712052, 2674500, 1712052, 376594, 1504, 0, 0, 7936, 2523328, 15351085, 34315385, 34315385

Offset

1,13

Comments

Table starts

.0.....0........0..........0............0..............0...............0

.0.....0........0..........0............4.............40.............264

.0.....0........2........403.........5432..........50383..........376594

.0.....0......403......11886.......165152........1712052........15351085

.0.....4.....5432.....165152......2674500.......34315385.......387076338

.0....40....50383....1712052.....34315385......554477876......7883014615

.0...264...376594...15351085....387076338.....7883014615....140913280266

.0..1504..2523328..126810474...4014050010...103248064080...2326415367317

.0..7936.15678950..989755263..39317379331..1277923264206..36332244115510

.0.39744.92540669.7421134282.369759902284.15187234735252.545100865508798

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 9]

k=3: [order 30] for n>34

k=4: [order 84] for n>94

Example

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

Crossrefs

Sequence in context: A110173 A328820 A259863 * A131427 A153198 A182492

Adjacent sequences: A283663 A283664 A283665 * A283667 A283668 A283669

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 13 2017

Status

approved