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A282528 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors. 8
2, 4, 4, 8, 15, 8, 16, 43, 43, 16, 32, 144, 206, 144, 32, 64, 473, 1097, 1097, 473, 64, 128, 1529, 5675, 10041, 5675, 1529, 128, 256, 5004, 29433, 86258, 86258, 29433, 5004, 256, 512, 16335, 153037, 747184, 1207312, 747184, 153037, 16335, 512, 1024, 53283 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

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

....4.....15.......43........144..........473............1529..............5004

....8.....43......206.......1097.........5675...........29433............153037

...16....144.....1097......10041........86258..........747184...........6509805

...32....473.....5675......86258......1207312........17100576.........243903065

...64...1529....29433.....747184.....17100576.......398640091........9355397095

..128...5004...153037....6509805....243903065......9355397095......361721564040

..256..16335...794716...56491269...3461268322....218250094269....13881707109180

..512..53283..4128244..490864610..49204976763...5103468618577...534350790960907

.1024.173960.21444844.4264923086.699393940820.119296756793024.20559180796734866

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

FORMULA

Empirical for column k:

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

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

k=3: a(n) = 5*a(n-1) +2*a(n-2) -a(n-3) -24*a(n-4) +13*a(n-5) -2*a(n-7) +6*a(n-8)

k=4: [order 14]

k=5: [order 31]

k=6: [order 68]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000079.

Sequence in context: A216950 A240364 A225982 * A297094 A283282 A181253

Adjacent sequences:  A282525 A282526 A282527 * A282529 A282530 A282531

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 17 2017

STATUS

approved

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Last modified June 23 16:47 EDT 2021. Contains 345402 sequences. (Running on oeis4.)