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A299089 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 26, 26, 8, 16, 88, 92, 88, 16, 32, 298, 354, 354, 298, 32, 64, 1012, 1387, 1617, 1387, 1012, 64, 128, 3440, 5470, 7722, 7722, 5470, 3440, 128, 256, 11700, 21484, 36667, 46456, 36667, 21484, 11700, 256, 512, 39804, 84425, 173524, 273360, 273360 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.....2......4.......8.......16........32..........64..........128

...2.....8.....26......88......298......1012........3440........11700

...4....26.....92.....354.....1387......5470.......21484........84425

...8....88....354....1617.....7722.....36667......173524.......822065

..16...298...1387....7722....46456....273360.....1598956......9400094

..32..1012...5470...36667...273360...2001653....14514670....105596164

..64..3440..21484..173524..1598956..14514670...129999453...1166134994

.128.11700..84425..822065..9400094.105596164..1166134994..12899638332

.256.39804.331838.3897261.55296169.769538056.10493701031.143316205219

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) +2*a(n-3) -6*a(n-4) -4*a(n-5)

k=3: [order 17] for n>19

k=4: [order 64] for n>66

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A298189.

Sequence in context: A301841 A302069 A298195 * A299345 A299852 A299008

Adjacent sequences:  A299086 A299087 A299088 * A299090 A299091 A299092

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 02 2018

STATUS

approved

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Last modified January 22 13:23 EST 2022. Contains 350481 sequences. (Running on oeis4.)