A282159 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 two elements, and with new values introduced in order 0 sequentially upwards.

0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 82, 884, 82, 0, 0, 1599, 37560, 37560, 1599, 0, 0, 20256, 449234, 680348, 449234, 20256, 0, 0, 217361, 4930949, 12543514, 12543514, 4930949, 217361, 0, 0, 2130206, 45129433, 171142988, 268737946, 171142988, 45129433

Offset

1,12

Comments

Table starts

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

.0.........0...........1...........82..........1599.........20256........217361

.0.........1.........884........37560........449234.......4930949......45129433

.0........82.......37560.......680348......12543514.....171142988....2215087379

.0......1599......449234.....12543514.....268737946....4498309134...70977696789

.0.....20256.....4930949....171142988....4498309134...94477496914.1871302754948

.0....217361....45129433...2215087379...70977696789.1871302754948

.0...2130206...390165523..26310131648.1027384373753

.0..19642211..3162500791.298319340360

.0.173364188.24713889390

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

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

k=2: [order 12]

k=3: [order 45] for n>49

Example

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

Crossrefs

Sequence in context: A173356 A083386 A356536 * A263812 A160154 A093282

Adjacent sequences: A282156 A282157 A282158 * A282160 A282161 A282162

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2017

Status

approved