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A221768 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without 2-loops or left turns 5
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 8, 16, 8, 0, 0, 21, 92, 92, 21, 0, 0, 55, 536, 1042, 536, 55, 0, 0, 144, 3125, 12177, 12177, 3125, 144, 0, 0, 377, 18216, 141177, 296912, 141177, 18216, 377, 0, 0, 987, 106174, 1635606, 7115200, 7115200, 1635606, 106174, 987, 0, 0, 2584 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

Table starts

.0.....0........0..........0...........0............0.............0

.0.....1........3..........8..........21...........55...........144

.0.....3.......16.........92.........536.........3125.........18216

.0.....8.......92.......1042.......12177.......141177.......1635606

.0....21......536......12177......296912......7115200.....170234678

.0....55.....3125.....141177.....7115200....347487163...16949434757

.0...144....18216....1635606...170234678..16949434757.1685013765256

.0...377...106174...18947791..4073986651.827634377153

.0...987...618832..219496141.97465620298

.0..2584..3606823.2542689904

.0..6765.21022112

.0.17711

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A001906(n-1)

Sequence in context: A155999 A338034 A299904 * A283071 A060523 A199041

Adjacent sequences:  A221765 A221766 A221767 * A221769 A221770 A221771

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 25 2013

STATUS

approved

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Last modified October 17 21:17 EDT 2021. Contains 348065 sequences. (Running on oeis4.)