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A300215 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 228, 128, 16, 32, 512, 1651, 1651, 512, 32, 64, 2048, 11965, 22194, 11965, 2048, 64, 128, 8192, 86775, 298600, 298600, 86775, 8192, 128, 256, 32768, 629440, 4023881, 7452385, 4023881, 629440, 32768, 256, 512, 131072 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1......2........4..........8............16..............32

...2......8.......32........128...........512............2048

...4.....32......228.......1651.........11965...........86775

...8....128.....1651......22194........298600.........4023881

..16....512....11965.....298600.......7452385.......186427449

..32...2048....86775....4023881.....186427449......8664017314

..64...8192...629440...54246856....4666136435....402932952786

.128..32768..4566023..731384148..116802113451..18741286700978

.256.131072.33122989.9861234001.2923892905217.871742323938453

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)

k=3: [order 8]

k=4: [order 24]

k=5: [order 89]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A320371 A317565 A302741 * A300804 A303456 A301443

Adjacent sequences:  A300212 A300213 A300214 * A300216 A300217 A300218

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 28 2018

STATUS

approved

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Last modified September 30 02:03 EDT 2020. Contains 337432 sequences. (Running on oeis4.)