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A264709 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 6. 4
1, 1, 1, 1, 1, 1, 2, 8, 4, 1, 4, 84, 152, 28, 1, 8, 800, 8064, 4544, 176, 1, 24, 15360, 789696, 1555200, 202176, 1600, 2, 72, 357696, 120512448, 2248445952, 963726336, 10964160, 16128, 4, 216, 6873984, 29928517632, 3889709973504 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

.1.....1........1.........2..........4.............8..........24......72.216

.1.....1........8........84........800.........15360......357696.6873984

.1.....4......152......8064.....789696.....120512448.29928517632

.1....28.....4544...1555200.2248445952.3889709973504

.1...176...202176.963726336

.1..1600.10964160

.2.16128

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

Some solutions for n=3 k=4

..6..1..7..8....0..1..7.10....3..6..0..9....0..6..7..1....0..9..4..1

..0..3..2.11....6..8..2.11...10..1..7..4....3..9..2..8....6..3.10..7

..9..4.10..5....9..3..4..5....5..2..8.11....4.10..5.11....8..5.11..2

CROSSREFS

Column 1 is A264701.

Row 1 is A264557.

Sequence in context: A021356 A030345 A264818 * A200004 A253634 A152626

Adjacent sequences:  A264706 A264707 A264708 * A264710 A264711 A264712

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 21 2015

STATUS

approved

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Last modified October 18 05:31 EDT 2019. Contains 328146 sequences. (Running on oeis4.)