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 A264862 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7. 4

%I #3 Nov 26 2015 20:02:44

%S 1,1,1,1,2,1,1,5,5,1,1,12,30,8,1,1,72,839,839,47,1,2,516,16365,39131,

%T 15000,422,1,4,2727,550479,4497392,3474446,530302,1625,2,8,29935,

%U 8299492,285666842

%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7.

%C Table starts

%C .1....1......1.......1.......1.........1.......2.....4.8

%C .1....2......5......12......72.......516....2727.29935

%C .1....5.....30.....839...16365....550479.8299492

%C .1....8....839...39131.4497392.285666842

%C .1...47..15000.3474446

%C .1..422.530302

%C .1.1625

%C .2

%e Some solutions for n=4 k=4

%e ..0..7..1.14....0..1..7..2....7.14..8.15....0..7.14.15....0.14..8.15

%e ..8..9..3.15...14..8.15.10...12..0..1..3....8..3..9.11...12..7..3..9

%e .12..2..4.10...13..9..3..4...13..2..9..4....1.13..2..4....6..1..4.10

%e ..6.13..5.11....6.12..5.11....6.10..5.11...12..6.10..5...13..2.11..5

%Y Column 1 is A264791.

%Y Row 1 is A264701.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Nov 26 2015

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Last modified May 23 14:23 EDT 2024. Contains 372763 sequences. (Running on oeis4.)