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A188813
T(n,k)=Number of nXk array permutations with each element moved but remaining in its original row or its original column
4
0, 1, 1, 2, 4, 2, 9, 20, 20, 9, 44, 272, 448, 272, 44, 265, 6032, 25904, 25904, 6032, 265, 1854, 205312, 2952608, 7114752, 2952608, 205312, 1854, 14833, 9672448, 596917696, 4566151168, 4566151168, 596917696, 9672448, 14833, 133496, 601903360
OFFSET
1,4
COMMENTS
Table starts
.....0.......1.........2..........9.........44.......265.........1854.....14833
.....1.......4........20........272.......6032....205312......9672448.601903360
.....2......20.......448......25904....2952608.596917696.194286402560
.....9.....272.....25904....7114752.4566151168
....44....6032...2952608.4566151168
...265..205312.596917696
..1854.9672448
.14833
LINKS
EXAMPLE
Some solutions for 4X3
..6.10..1....6..2.11....6..0.11....6..4..1....1.10..8....2.10..5....3..2.11
..0..7..8....0..1..3....5..1..4....9..3..2....9..3..2....9..7..3....6..1..4
..9..4..5....9..8..7....7..8..2....8.10.11....0..4..6....0..4..6....9.10..5
..3.11..2...10..4..5....3..9.10....0..7..5...11..7..5...11..1..8....0..7..8
CROSSREFS
Column 1 is A000166
Sequence in context: A365638 A196759 A303165 * A324958 A353108 A072866
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 11 2011
STATUS
approved