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A297102 T(n,k)=Number of nXk 0..1 arrays with no 1 adjacent to 4 king-move neighboring 1s. 8
2, 4, 4, 8, 16, 8, 16, 58, 58, 16, 32, 216, 351, 216, 32, 64, 808, 2258, 2258, 808, 64, 128, 3016, 14566, 26278, 14566, 3016, 128, 256, 11264, 93654, 304059, 304059, 93654, 11264, 256, 512, 42080, 602723, 3498712, 6316836, 3498712, 602723, 42080, 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.......58........216...........808............3016.............11264

...8.....58......351.......2258.........14566...........93654............602723

..16....216.....2258......26278........304059.........3498712..........40369420

..32....808....14566.....304059.......6316836.......129966319........2685011300

..64...3016....93654....3498712.....129966319......4769336288......175908737504

.128..11264...602723...40369420....2685011300....175908737504....11598374165583

.256..42080..3879430..465695460...55461279894...6486806363511...764506387012021

.512.157192.24968616.5371615378.1145287856764.239124095978045.50370121334317960

LINKS

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

FORMULA

Empirical for column k:

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

k=2: a(n) = 4*a(n-1) -2*a(n-2) +6*a(n-3) -8*a(n-4) -4*a(n-6)

k=3: [order 20]

k=4: [order 47]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A295716 A282399 A297374 * A283415 A283857 A227442

Adjacent sequences:  A297099 A297100 A297101 * A297103 A297104 A297105

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 25 2017

STATUS

approved

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Last modified February 27 19:10 EST 2020. Contains 332308 sequences. (Running on oeis4.)