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A282399 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its king-move neighbors. 8
2, 4, 4, 8, 16, 8, 16, 57, 57, 16, 32, 213, 324, 213, 32, 64, 796, 2048, 2048, 796, 64, 128, 2964, 12771, 23773, 12771, 2964, 128, 256, 11049, 79266, 266425, 266425, 79266, 11049, 256, 512, 41193, 493671, 2966724, 5297294, 2966724, 493671, 41193, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2......4........8.........16...........32..............64...............128

...4.....16.......57........213..........796............2964.............11049

...8.....57......324.......2048........12771...........79266............493671

..16....213.....2048......23773.......266425.........2966724..........33295509

..32....796....12771.....266425......5297294.......104126212........2073090293

..64...2964....79266....2966724....104126212......3599858930......126635741170

.128..11049...493671...33295509...2073090293....126635741170.....7910979963313

.256..41193..3072417..372745151..41113855962...4430221392726...490628902023166

.512.153556.19120172.4173376213.815396431544.155002258286662.30431979525697236

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1)

k=2: a(n) = 3*a(n-1) +a(n-2) +7*a(n-3) -2*a(n-4) -4*a(n-6)

k=3: [order 9]

k=4: [order 17]

k=5: [order 44]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A283691 A283130 A295716 * A297374 A297102 A283415

Adjacent sequences:  A282396 A282397 A282398 * A282400 A282401 A282402

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 14 2017

STATUS

approved

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Last modified February 17 12:10 EST 2020. Contains 331996 sequences. (Running on oeis4.)