A282130 T(n,k)=Number of nXk 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 0, 0, 0, 0, 0, 0, 30, 30, 0, 0, 412, 1826, 412, 0, 0, 4018, 14952, 14952, 4018, 0, 0, 35472, 137676, 210308, 137676, 35472, 0, 0, 296062, 1032030, 2582100, 2582100, 1032030, 296062, 0, 0, 2378276, 7679079, 27360940, 36329997, 27360940, 7679079

Offset

1,8

Comments

Table starts

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

.0.........0.........30.........412........4018........35472.......296062

.0........30.......1826.......14952......137676......1032030......7679079

.0.......412......14952......210308.....2582100.....27360940....288592122

.0......4018.....137676.....2582100....36329997....474264964...6056577995

.0.....35472....1032030....27360940...474264964...7788462424.124826907672

.0....296062....7679079...288592122..6056577995.124826907672

.0...2378276...54233948..2859154700.73617080694

.0..18602538..376415512.28049884760

.0.142686584.2558365766

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

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

k=2: [order 8]

k=3: [order 30] for n>33

k=4: [order 80] for n>87

Example

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

Crossrefs

Sequence in context: A057348 A057350 A244948 * A125564 A056997 A056958

Adjacent sequences: A282127 A282128 A282129 * A282131 A282132 A282133

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2017

Status

approved