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A221693 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without consecutive moves in the same direction 8
1, 3, 1, 6, 21, 1, 13, 152, 144, 1, 28, 1336, 3112, 987, 1, 60, 11036, 95076, 63676, 6765, 1, 129, 92660, 2627760, 7033429, 1302720, 46368, 1, 277, 774380, 74531185, 659020617, 520770016, 26650988, 317811, 1, 595, 6479664, 2098932856 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

.1........21..........152............1336.............11036.............92660

.1.......144.........3112...........95076...........2627760..........74531185

.1.......987........63676.........7033429.........659020617.......64509677154

.1......6765......1302720.......520770016......164441398718....55433846144035

.1.....46368.....26650988.....38558774282....41023076707062.47681199145323119

.1....317811....545221260...2854945130275.10233875156794211

.1...2178309..11154026300.211383822013331

.1..14930352.228186749552

.1.102334155

.1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..70

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A033888

Row 1 is A002478

Sequence in context: A221937 A333652 A189735 * A271969 A175291 A156363

Adjacent sequences:  A221690 A221691 A221692 * A221694 A221695 A221696

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 22 2013

STATUS

approved

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Last modified November 29 02:45 EST 2020. Contains 338756 sequences. (Running on oeis4.)