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A221787
T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns
9
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 8, 5, 1, 0, 0, 0, 21, 24, 16, 0, 0, 0, 0, 55, 142, 173, 41, 1, 0, 0, 0, 144, 840, 1325, 744, 105, 0, 0, 0, 0, 377, 4919, 15936, 13682, 4131, 288, 1, 0, 0, 0, 987, 28704, 187794, 252538, 109702, 19998, 735, 0, 0, 0, 0, 2584, 167344
OFFSET
1,12
COMMENTS
Table starts
.0.0.0.....0.......0........0..........0..........0...........0............0
.0.0.1.....3.......8.......21.........55........144.........377..........987
.0.0.0.....5......24......142........840.......4919.......28704.......167344
.0.0.1....16.....173.....1325......15936.....187794.....2167196.....25071259
.0.0.0....41.....744....13682.....252538....6854851...164812860...3910715845
.0.0.1...105....4131...109702....4781652..220782560.12043488477.578442771884
.0.0.0...288...19998..1104476...76353254.8468269355
.0.0.1...735..104035..9561346.1402260000
.0.0.0..1981..520922.89663745
.0.0.1..5156.2661269
.0.0.0.13685
.0.0.1
LINKS
EXAMPLE
All solutions for n=3 k=4
..0..2..2..1....0..1..1..1....0..2..2..1....0..2..1..1....0..2..2..1
..0..2..1..0....0..2..2..0....0..2..2..0....0..1..2..0....0..1..1..0
..1..1..2..0....1..2..2..0....1..1..1..0....1..2..2..0....1..2..2..0
CROSSREFS
Row 2 is A001906(n-2)
Sequence in context: A097017 A108707 A046775 * A348070 A348071 A204060
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 25 2013
STATUS
approved