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A188808 T(n,k)=Number of nXk array permutations with each element remaining in its original row or its original column 3
1, 2, 2, 6, 9, 6, 24, 82, 82, 24, 120, 1313, 2720, 1313, 120, 720, 32826, 194568, 194568, 32826, 720, 5040, 1181737, 26101232, 72104097, 26101232, 1181737, 5040, 40320, 57905114, 5919004912, 57951767544, 57951767544, 5919004912, 57905114, 40320 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
.....1........2..........6..........24.........120........720..........5040
.....2........9.........82........1313.......32826....1181737......57905114
.....6.......82.......2720......194568....26101232.5919004912.2103543163584
....24.....1313.....194568....72104097.57951767544
...120....32826...26101232.57951767544
...720..1181737.5919004912
..5040.57905114
.40320
LINKS
EXAMPLE
Some solutions for 4X3
..3..2.11....3..0..8....0.10..8....3..0..1....0.10.11....0..4..8....1..2..0
..9..1..4....4..1..5....6..7..3....9..7.11....6..5..4....3..1..5....6..4..5
..6..8..7....7..6.11....9..4..5....8.10..5....9..8..7....6..7..2....9..7..8
..0.10..5...10..9..2...11..1..2....6..4..2....3..1..2...11.10..9....3.10.11
CROSSREFS
Column 1 is A000142
Column 2 is A006040(n+1)
Sequence in context: A345308 A231137 A371400 * A021819 A359896 A339426
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 11 2011
STATUS
approved

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Last modified June 23 15:10 EDT 2024. Contains 373651 sequences. (Running on oeis4.)