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A299661 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 227, 128, 16, 32, 512, 1642, 1642, 512, 32, 64, 2048, 11888, 22087, 11888, 2048, 64, 128, 8192, 86123, 297071, 297071, 86123, 8192, 128, 256, 32768, 624007, 4001253, 7411398, 4001253, 624007, 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......227.......1642.........11888...........86123

...8....128.....1642......22087........297071.........4001253

..16....512....11888.....297071.......7411398.......185302633

..32...2048....86123....4001253.....185302633......8607101770

..64...8192...624007...53909088....4634931975....400012077773

.128..32768..4521433..726363190..115940148451..18591844096646

.256.131072.32761769.9787119222.2900256951630.864147943636240

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=5

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A316960 A299740 A316815 * A320371 A317565 A302741

Adjacent sequences:  A299658 A299659 A299660 * A299662 A299663 A299664

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 15 2018

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)