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A299740 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 32, 32, 8, 16, 128, 220, 128, 16, 32, 512, 1578, 1578, 512, 32, 64, 2048, 11303, 21111, 11303, 2048, 64, 128, 8192, 81105, 280642, 280642, 81105, 8192, 128, 256, 32768, 582032, 3742524, 6896530, 3742524, 582032, 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...............64

...2.....8......32.......128..........512...........2048.............8192

...4....32.....220......1578........11303..........81105...........582032

...8...128....1578.....21111.......280642........3742524.........49914496

..16...512...11303....280642......6896530......170243005.......4203272237

..32..2048...81105...3742524....170243005.....7790212998.....356575568843

..64..8192..582032..49914496...4203272237...356575568843...30260326859957

.128.32768.4177161.665759775.103785926879.16322570202905.2568233775595684

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 79]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A004171(n-1).

Sequence in context: A305523 A298970 A316960 * A316815 A299661 A320371

Adjacent sequences:  A299737 A299738 A299739 * A299741 A299742 A299743

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 18 2018

STATUS

approved

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)