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A221824 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without consecutive moves in the same direction 4
1, 3, 3, 6, 31, 6, 13, 252, 252, 13, 28, 2113, 6711, 2113, 28, 60, 17684, 190756, 190756, 17684, 60, 129, 147920, 5374720, 18636989, 5374720, 147920, 129, 277, 1237439, 151592441, 1804472268, 1804472268, 151592441, 1237439, 277, 595, 10351593 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........3............6.............13..............28..............60

....3.......31..........252...........2113...........17684..........147920

....6......252.........6711.........190756.........5374720.......151592441

...13.....2113.......190756.......18636989......1804472268....174820457922

...28....17684......5374720.....1804472268....597819977898.198296512455330

...60...147920....151592441...174820457922.198296512455330

..129..1237439...4274867564.16936005698353

..277.10351593.120554575328

..595.86594795

.1278

LINKS

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

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A002478

Sequence in context: A222020 A230253 A259970 * A221898 A103895 A221886

Adjacent sequences:  A221821 A221822 A221823 * A221825 A221826 A221827

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 26 2013

STATUS

approved

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Last modified October 23 01:49 EDT 2020. Contains 337962 sequences. (Running on oeis4.)