A221852 T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.

1, 3, 1, 6, 31, 1, 13, 302, 306, 1, 28, 3437, 10085, 2989, 1, 60, 37155, 465305, 354670, 29135, 1, 129, 406612, 19159028, 67228149, 12277568, 283872, 1, 277, 4434129, 811781250, 10799370973, 9607602488, 426752551, 2765627, 1, 595, 48397883

Offset: 1

Author

R. H. Hardin Jan 27 2013

Keywords

• nonn
• tabl

Comments

Table starts

.1.......3.........6.........13..........28............60.........129......277

.1......31.......302.......3437.......37155........406612.....4434129.48397883

.1.....306.....10085.....465305....19159028.....811781250.34109464173

.1....2989....354670...67228149.10799370973.1802820316744

.1...29135..12277568.9607602488

.1..283872.426752551

.1.2765627

.1

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..40

Crossrefs

Column 2 is A220997

Row 1 is A002478