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A221125 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor 9
1, 3, 1, 8, 21, 1, 21, 200, 144, 1, 55, 1950, 4872, 987, 1, 144, 19005, 179300, 118472, 6765, 1, 377, 185164, 6405243, 16436223, 2880520, 46368, 1, 987, 1803949, 229006550, 2152770692, 1506094707, 70036168, 317811, 1, 2584, 17574675 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.1........3...........8.............21..............55.............144
.1.......21.........200...........1950...........19005..........185164
.1......144........4872.........179300.........6405243.......229006550
.1......987......118472.......16436223......2152770692....282454178707
.1.....6765.....2880520.....1506094707....723234356389.348270153038959
.1....46368....70036168...138001217828.242959402596630
.1...317811..1702839048.12644783009532
.1..2178309.41402332360
.1.14930352
.1
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..1..2..0....2..1..1..0....2..0..2..0....2..1..1..0....1..2..0..0
..0..2..2..0....0..1..2..1....1..1..1..1....0..1..2..0....0..2..2..0
..1..1..0..2....0..0..2..2....0..3..1..0....0..2..3..0....0..1..4..0
CROSSREFS
Column 2 is A033888
Row 1 is A001906
Sequence in context: A077108 A075847 A193602 * A049967 A221780 A221723
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 02 2013
STATUS
approved

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Last modified March 1 22:23 EST 2024. Contains 370443 sequences. (Running on oeis4.)