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A282593 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly two elements. 7
0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 12, 84, 12, 0, 0, 52, 533, 533, 52, 0, 0, 220, 4083, 6116, 4083, 220, 0, 0, 916, 28060, 73469, 73469, 28060, 916, 0, 0, 3700, 184242, 855448, 1551972, 855448, 184242, 3700, 0, 0, 14752, 1182850, 9375582, 30003220, 30003220, 9375582 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

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

.0.....0........4..........12............52.............220................916

.0.....4.......84.........533..........4083...........28060.............184242

.0....12......533........6116.........73469..........855448............9375582

.0....52.....4083.......73469.......1551972........30003220..........546521435

.0...220....28060......855448......30003220.......957470936........28829389941

.0...916...184242.....9375582.....546521435.....28829389941......1436405360064

.0..3700..1182850...100393362....9746960274....848630437758.....69900439513231

.0.14752..7409734..1053618468..169306647351..24308348318637...3307105747958168

.0.58156.45609366.10851865132.2884275163813.682719076871766.153363953593877372

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

k=2: [order 12]

k=3: [order 24]

k=4: [order 42]

k=5: [order 93]

EXAMPLE

Some solutions for n=4 k=4

..0..0..0..1. .0..0..1..1. .0..0..0..1. .0..0..0..0. .0..1..1..0

..1..1..0..0. .0..0..0..0. .0..1..1..1. .0..1..1..0. .0..0..0..1

..1..0..0..0. .0..1..1..0. .0..1..0..1. .0..0..0..1. .1..0..1..0

..1..1..1..0. .1..1..0..0. .0..0..0..0. .0..1..1..1. .1..1..0..1

CROSSREFS

Sequence in context: A165727 A284609 A290448 * A276339 A260318 A075866

Adjacent sequences:  A282590 A282591 A282592 * A282594 A282595 A282596

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 19 2017

STATUS

approved

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Last modified May 17 23:07 EDT 2022. Contains 353779 sequences. (Running on oeis4.)