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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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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: A264659 A264560 A300625 * A201737 A080063 A187680

Adjacent sequences:  A264635 A264636 A264637 * A264639 A264640 A264641

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 19 2015

STATUS

approved

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Last modified January 23 01:30 EST 2020. Contains 331166 sequences. (Running on oeis4.)