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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
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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