A221433
Number of nX3 1..(max n,3) arrays with each row and column having unrepeated values.
Original entry on oeis.org
6, 12, 12, 576, 66240, 15321600, 5411750400, 2834466324480, 2102110586634240, 2130686007341875200, 2866934087721639936000, 4998512704699099643904000, 11064050379110706817558118400, 30552674703715743883429360435200
Offset: 1
Some solutions for n=3
..3..2..1....1..2..3....1..2..3....3..1..2....1..3..2....2..1..3....2..3..1
..2..1..3....2..3..1....3..1..2....2..3..1....3..2..1....3..2..1....1..2..3
..1..3..2....3..1..2....2..3..1....1..2..3....2..1..3....1..3..2....3..1..2
- RJ Stones, S Lin, X Liu, G Wang, On Computing the Number of Latin Rectangles, Graphs and Combinatorics, Graphs and Combinatorics (2016) 32:1187-1202; DOI 10.1007/s00373-015-1643-1
A221434
Number of n X 4 1..(max n,4) arrays with each row and column having unrepeated values.
Original entry on oeis.org
24, 216, 576, 576, 161280, 283046400, 782137036800, 3563924952268800, 25315180943034286080, 269169718618593283276800, 4137679434467601752260608000, 89264433387042486497787641856000, 2634485866147603716480364478201856000, 104038940808800435615474810743389211852800
Offset: 1
Some solutions for n=3:
..2..4..1..3....4..2..3..1....1..3..2..4....4..1..2..3....2..1..3..4
..3..1..4..2....3..1..4..2....2..4..1..3....1..2..3..4....4..3..2..1
..4..2..3..1....1..4..2..3....4..2..3..1....3..4..1..2....3..4..1..2
A221435
Number of nX5 1..(max n,5) arrays with each row and column having unrepeated values.
Original entry on oeis.org
120, 5280, 66240, 161280, 161280, 812851200, 20449013760000, 921456860096102400, 68695056598964266598400
Offset: 1
Some solutions for n=3
..3..5..2..1..4....1..4..2..5..3....1..3..4..2..5....5..4..1..2..3
..1..3..5..4..2....2..3..4..1..5....2..4..1..5..3....2..1..5..3..4
..2..1..4..5..3....4..5..3..2..1....3..5..2..1..4....4..3..2..5..1
A221436
Number of nX6 1..(max n,6) arrays with each row and column having unrepeated values.
Original entry on oeis.org
720, 190800, 15321600, 283046400, 812851200, 812851200, 61479419904000
Offset: 1
Some solutions for n=3
..1..6..2..3..5..4....1..3..2..5..4..6....1..3..2..6..4..5....1..4..2..5..3..6
..4..3..1..6..2..5....2..1..4..6..5..3....2..1..5..4..3..6....6..3..5..2..1..4
..6..2..4..5..3..1....6..5..1..3..2..4....5..6..4..3..1..2....2..6..4..1..5..3
A221437
Number of nX7 1..(max n,7) arrays with each row and column having unrepeated values.
Original entry on oeis.org
5040, 9344160, 5411750400, 782137036800, 20449013760000, 61479419904000, 61479419904000
Offset: 1
Some solutions for n=2
..1..2..3..4..5..6..7....1..3..5..2..6..4..7....1..2..3..4..7..6..5
..2..7..1..3..6..4..5....2..5..6..4..3..7..1....2..4..6..1..5..3..7
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