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A264704 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6. 5
1, 1, 1, 2, 3, 1, 4, 15, 6, 1, 12, 212, 296, 36, 1, 36, 3712, 26304, 9024, 288, 1, 144, 96256, 4689792, 7708608, 492480, 2240, 2, 576, 3423168, 1263257856, 15216574464, 4137827328, 30233088, 20736, 4, 2880, 158521536, 603321053184 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

.1.....1........2..........4..........12.........36..........144.......576.2880

.1.....3.......15........212........3712......96256......3423168.158521536

.1.....6......296......26304.....4689792.1263257856.603321053184

.1....36.....9024....7708608.15216574464

.1...288...492480.4137827328

.1..2240.30233088

.2.20736

LINKS

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

EXAMPLE

Some solutions for n=3 k=4

..0..6..8..7....4..6..0..7....8..6..2..0....4..2..6..7....0..6..3..1

..2..4.10..1...10..2..8..1...10..1..5..3...10..8..0..1....8..2.10..7

..9..5.11..3....5.11..3..9....4..7.11..9...11..3..9..5....4..5.11..9

CROSSREFS

Row 1 is A111942(n+1).

Sequence in context: A270312 A169625 A264794 * A264659 A264560 A300625

Adjacent sequences:  A264701 A264702 A264703 * A264705 A264706 A264707

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved

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Last modified September 17 10:52 EDT 2019. Contains 327129 sequences. (Running on oeis4.)