A188962 T(n,k)=Number of nXk array permutations with each element moved by a city block distance of no more than three.

1, 2, 2, 6, 24, 6, 24, 720, 720, 24, 78, 24024, 229080, 24024, 78, 230, 570050, 75764664, 75764664, 570050, 230, 675, 12702057, 17316382188, 251096032912, 17316382188, 12702057, 675, 2069, 298167456, 3909049448304, 573780546403024

Offset: 1

Author

R. H. Hardin Apr 14 2011

Keywords

• nonn
• tabl

Comments

Table starts

....1.........2.............6..............24..............78...........230

....2........24...........720...........24024..........570050......12702057

....6.......720........229080........75764664.....17316382188.3909049448304

...24.....24024......75764664....251096032912.573780546403024

...78....570050...17316382188.573780546403024

..230..12702057.3909049448304

..675.298167456

.2069

Examples

			Some solutions for 5X3
..0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1....0..5..1
..6..3.10....6..3.10....6..3.10....6..3..7....6..3..7....6..3..7....6..3..7
..7..2.14...13..7.11....9.14..7....8..2.13...10..2.11....4.14..2...11.13..2
.11..4..9....8..4..2....8..4..2...14..4..9...13..8..4....8..9.10...14..4.10
.13..8.12...12.14..9...13.11.12...11.12.10...12.14..9...11.13.12...12..9..8
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..39

Crossrefs

Column 1 is A002526