A221817 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns

0, 1, 0, 0, 4, 0, 1, 16, 12, 0, 0, 91, 14, 40, 0, 1, 459, 1041, 379, 136, 0, 0, 2429, 7320, 29412, 1052, 460, 0, 1, 12678, 123644, 854959, 574706, 11079, 1556, 0, 0, 66380, 1271018, 35948127, 35993876, 13076919, 47390, 5264, 0, 1, 347305, 17049353

Offset

1,5

Comments

Table starts

.0.....1......0.........1..........0..........1..........0...........1

.0.....4.....16........91........459.......2429......12678.......66380

.0....12.....14......1041.......7320.....123644....1271018....17049353

.0....40....379.....29412.....854959...35948127.1290833232.49447514716

.0...136...1052....574706...35993876.4744100774

.0...460..11079..13076919.2428955613

.0..1556..47390.280280821

.0..5264.361950

.0.17808

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 2 is A221652

Sequence in context: A335748 A266488 A189355 * A054375 A195739 A323128

Adjacent sequences: A221814 A221815 A221816 * A221818 A221819 A221820

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2013

Status

approved