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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

%I

%S 1,1,1,1,1,1,2,8,4,1,4,84,152,28,1,8,800,8064,4544,176,1,24,15360,

%T 789696,1555200,202176,1600,2,72,357696,120512448,2248445952,

%U 963726336,10964160,16128,4,216,6873984,29928517632,3889709973504

%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 6.

%C Table starts

%C .1.....1........1.........2..........4.............8..........24......72.216

%C .1.....1........8........84........800.........15360......357696.6873984

%C .1.....4......152......8064.....789696.....120512448.29928517632

%C .1....28.....4544...1555200.2248445952.3889709973504

%C .1...176...202176.963726336

%C .1..1600.10964160

%C .2.16128

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A264701.

%Y Row 1 is A264557.

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_, Nov 21 2015

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Last modified May 26 17:16 EDT 2022. Contains 354092 sequences. (Running on oeis4.)