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A221937 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns 9
1, 3, 1, 6, 17, 1, 13, 105, 91, 1, 28, 783, 1599, 489, 1, 60, 5622, 36467, 24535, 2627, 1, 129, 40608, 799632, 1759041, 376389, 14113, 1, 277, 293084, 17595404, 119035112, 84547866, 5773962, 75819, 1, 595, 2115379, 387146025, 8118923949, 17626884659 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

.1.......17.........105...........783............5622............40608

.1.......91........1599.........36467..........799632.........17595404

.1......489.......24535.......1759041.......119035112.......8118923949

.1.....2627......376389......84547866.....17626884659....3719159201319

.1....14113.....5773962....4065176472...2611330803361.1705064784016177

.1....75819....88575493..195452177326.386840503637732

.1...407321..1358791848.9397301189681

.1..2188243.20844539836

.1.11755857

.1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A221731

Row 1 is A002478

Sequence in context: A350610 A140982 A100232 * A333652 A189735 A221693

Adjacent sequences:  A221934 A221935 A221936 * A221938 A221939 A221940

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 01 2013

STATUS

approved

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Last modified January 21 22:03 EST 2022. Contains 350480 sequences. (Running on oeis4.)