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A189355
T(n,k) is the number of n X k array permutations with each element moving one space diagonally, horizontally or vertically.
10
0, 1, 1, 0, 4, 0, 1, 13, 13, 1, 0, 45, 48, 45, 0, 1, 160, 557, 557, 160, 1, 0, 565, 3632, 12592, 3632, 565, 0, 1, 2005, 30769, 237297, 237297, 30769, 2005, 1, 0, 7108, 229248, 4791913, 10252800, 4791913, 229248, 7108, 0, 1, 25209, 1815601, 94635005
OFFSET
1,5
COMMENTS
Table starts
.0.....1.........0............1................0....................1
.1.....4........13...........45..............160..................565
.0....13........48..........557.............3632................30769
.1....45.......557........12592...........237297..............4791913
.0...160......3632.......237297.........10252800............519621497
.1...565.....30769......4791913........519621497..........64731638400
.0..2005....229248.....94635005......24728774144........7675175968337
.1..7108...1815601...1883785285....1206541811872......927311536349401
.0.25209..13960720..37399042560...58289324009008...111267210412798665
.1.89401.108880333.743166198493.2827118724742121.13385995390731369181
LINKS
EXAMPLE
Some solutions for 5X3
..1..0..5....4..5..1....4..0..5....4..5..1....3..5..1....1..2..5....3..2..5
..6..3..2....7..0..2....6..1..2....0..8..2....0..8..2....0..7..8....0..1..4
..7..8..4....3..6.11....3..8..7....3..6..7....9..4..7...10..3..4....9..8..7
.12.11.10...10.14..8...12.11.14...13.14.10...12..6.14...13..6.14...12..6.10
..9.14.13....9.12.13...13..9.10....9.12.11...13.10.11....9.12.11...13.14.11
CROSSREFS
Cf. A189186.
Sequence in context: A228270 A335748 A266488 * A221817 A054375 A195739
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 20 2011
STATUS
approved