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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

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

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: A094485 A242978 A231137 * A021819 A000021 A000022

Adjacent sequences:  A188805 A188806 A188807 * A188809 A188810 A188811

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 11 2011

STATUS

approved

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Last modified December 5 15:57 EST 2016. Contains 278770 sequences.