A189186 T(n,k) = Number of n X k array permutations with each element making a single king move.

0, 1, 1, 0, 9, 0, 1, 33, 33, 1, 0, 185, 192, 185, 0, 1, 913, 4081, 4081, 913, 1, 0, 4777, 47936, 251720, 47936, 4777, 0, 1, 24577, 733465, 10599449, 10599449, 733465, 24577, 1, 0, 127385, 9925824, 524539713, 1339732352, 524539713, 9925824, 127385, 0, 1

Offset: 1

Author

R. H. Hardin, Apr 18 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

.1.......9..........33..............185...................913

.0......33.........192.............4081.................47936

.1.....185........4081...........251720..............10599449

.0.....913.......47936.........10599449............1339732352

.1....4777......733465........524539713..........212852911361

.0...24577.....9925824......24377674329........30863909708032

.1..127385...142150545....1162453545201......4646631858824169

.0..658801..1982789568...54868164490816....689003645197185280

.1.3410313.27997733409.2600517767888745.102804050401764094481

Examples

			Some solutions for 5X3
..3..2..1....3..5..4....1..3..4....1..0..5....4..0..1....3..2..1....3..0..5
..0..5..8....0..1..2....0..8..2....7..3..2....6..5..2....0..8..7....6..1..2
..9..6..4...10..6..7...10..6..5....4..9.11....9..3..7....4..9..5....7..8..4
.13.14..7...13..8.14....7.11.14....6.14..8...10..8.14....6.14.13...10.12.13
.10.12.11....9.12.11....9.12.13...10.12.13...13.12.11...10.12.11....9.14.11
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Cf. A189355.