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.

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

Offset: 1

Author

R. H. Hardin Jan 22 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A033888

Row 1 is A002478