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A264638
T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 4.
6
1, 1, 1, 2, 3, 1, 4, 28, 16, 1, 12, 400, 960, 128, 2, 36, 7776, 107568, 46656, 1152, 4, 144, 229392, 21565440, 71663616, 4561920, 12960, 8, 576, 9082368, 10027929600, 229132800000, 98288640000, 829440000, 269568, 16, 2880, 481406976
OFFSET
1,4
COMMENTS
Table starts
..1......1.........2...........4...........12..........36...........144
..1......3........28.........400.........7776......229392.......9082368
..1.....16.......960......107568.....21565440.10027929600.7163873280000
..1....128.....46656....71663616.229132800000
..2...1152...4561920.98288640000
..4..12960.829440000
..8.269568
.16
LINKS
EXAMPLE
Some solutions for n=3 k=4
..4..8..1..9....0..4..8..1....0..4..5..1....0..2..5..3....4..8..6..0
..0..6..2..5...10..2..7..9....2..8.11..9....8.10..1..7...10..9..7..5
.10..7.11..3....6.11..3..5....6.10..3..7....4..6..9.11....2..1.11..3
CROSSREFS
Row 1 is A111942(n+1).
Sequence in context: A371295 A264560 A300625 * A201737 A080063 A187680
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 19 2015
STATUS
approved