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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A002526

Sequence in context: A141902 A069466 A143084 * A076741 A320603 A276409

Adjacent sequences: A188959 A188960 A188961 * A188963 A188964 A188965

Keyword

nonn,tabl

Author

R. H. Hardin Apr 14 2011

Status

approved