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.

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

Author

R. H. Hardin, Nov 19 2015

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 1 is A111942(n+1).