A220943 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor

0, 1, 1, 2, 20, 2, 4, 208, 208, 4, 8, 2056, 7551, 2056, 8, 16, 20483, 291080, 291080, 20483, 16, 32, 203905, 11115933, 43253705, 11115933, 203905, 32, 64, 2029453, 424939090, 6388528170, 6388528170, 424939090, 2029453, 64, 128, 20199560

Offset

1,4

Comments

Table starts

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

...1........20..........208............2056............20483...........203905

...2.......208.........7551..........291080.........11115933........424939090

...4......2056.......291080........43253705.......6388528170.....944223520057

...8.....20483.....11115933......6388528170....3629112057868.2062231582631930

..16....203905....424939090....944223520057.2062231582631930

..32...2029453..16241930112.139549646254609

..64..20199560.620799451653

.128.201050056

.256

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=3 k=4
..0..2..1..0....0..1..0..1....0..3..1..0....0..0..1..0....0..3..0..0
..0..0..5..1....2..1..2..0....0..3..0..2....1..2..5..0....1..3..3..0
..1..2..0..0....0..2..3..0....0..1..2..0....1..0..2..0....1..0..1..0

Crossrefs

Column 1 is A000079(n-2)

Sequence in context: A366331 A210416 A351312 * A082259 A342077 A077339

Adjacent sequences: A220940 A220941 A220942 * A220944 A220945 A220946

Keyword

nonn,tabl

Author

R. H. Hardin Dec 25 2012

Status

approved