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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..111

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 * A204060 A085393 A128980

Adjacent sequences:  A221784 A221785 A221786 * A221788 A221789 A221790

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 25 2013

STATUS

approved

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Last modified September 23 03:22 EDT 2020. Contains 337291 sequences. (Running on oeis4.)