A221551 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out left turns

0, 1, 1, 2, 10, 2, 4, 72, 71, 4, 8, 503, 1930, 494, 8, 16, 3517, 48018, 47976, 3448, 16, 32, 24546, 1200093, 4107189, 1196232, 24055, 32, 64, 171268, 29961271, 354947070, 354544219, 29856238, 167811, 64, 128, 1194876, 747830157, 30632388919

Offset

1,4

Comments

Table starts

...0.......1.........2...........4............8..........16............32

...1......10........72.........503.........3517.......24546........171268

...2......71......1930.......48018......1200093....29961271.....747830157

...4.....494.....47976.....4107189....354947070.30632388919.2643033185667

...8....3448...1196232...354544219.106036544373

..16...24055..29856238.30591390580

..32..167811.745144793

..64.1170709

.128

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

Some solutions for n=3 k=4
..2..1..0..1....1..0..1..1....0..2..0..0....1..0..0..0....2..2..0..0
..1..0..0..1....4..1..0..1....2..2..1..1....1..2..3..0....1..0..3..2
..1..2..1..2....1..1..0..1....0..2..2..0....1..2..2..0....0..1..1..0

Crossrefs

Sequence in context: A215749 A102775 A154032 * A010700 A121521 A280033

Adjacent sequences: A221548 A221549 A221550 * A221552 A221553 A221554

Keyword

nonn,tabl

Author

R. H. Hardin Jan 19 2013

Status

approved