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A221165 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor 4
1, 3, 3, 8, 33, 8, 21, 352, 352, 21, 55, 3721, 14704, 3721, 55, 144, 39254, 609961, 609961, 39254, 144, 377, 413908, 25266305, 98570764, 25266305, 413908, 377, 987, 4363921, 1046229704, 15891102336, 15891102336, 1046229704, 4363921, 987, 2584 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.........3.............8..............21...............55..............144

....3........33...........352............3721............39254...........413908

....8.......352.........14704..........609961.........25266305.......1046229704

...21......3721........609961........98570764......15891102336....2560795894232

...55.....39254......25266305.....15891102336....9939389451855.6208776036030698

..144....413908....1046229704...2560795894232.6208776036030698

..377...4363921...43318295565.412629557874937

..987..46008619.1793512771275

.2584.485064009

.6765

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..59

EXAMPLE

Some solutions for n=3 k=4

..0..0..0..1....0..2..1..0....0..1..0..3....0..4..0..1....0..1..3..2

..1..5..2..2....0..2..1..2....0..2..1..1....0..0..1..0....0..1..1..0

..0..1..0..0....0..0..1..3....0..1..3..0....2..2..1..1....1..2..0..1

CROSSREFS

Column 1 is A001906

Sequence in context: A101126 A221001 A222093 * A221776 A221225 A119006

Adjacent sequences:  A221162 A221163 A221164 * A221166 A221167 A221168

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 03 2013

STATUS

approved

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Last modified September 27 22:01 EDT 2022. Contains 357063 sequences. (Running on oeis4.)