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 A264837 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7. 4

%I

%S 1,1,1,1,2,1,1,2,2,1,1,15,22,8,1,2,68,409,271,46,1,4,401,4800,13814,

%T 2703,182,1,8,2179,147550,1059838,742363,61692,701,2,16,23229,5692511,

%U 243485517

%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7.

%C Table starts

%C .1...1.....1......1.......1.........2.......4.....8.16

%C .1...2.....2.....15......68.......401....2179.23229

%C .1...2....22....409....4800....147550.5692511

%C .1...8...271..13814.1059838.243485517

%C .1..46..2703.742363

%C .1.182.61692

%C .1.701

%C .2

%e Some solutions for n=4 k=4

%e ..0..7..8.14....0..8.14..9....7..8..9.14....0..7..9.14...15..0..8.14

%e ..1..2..4..9....1.12..7..3....0..1.12..2...15..1..3..8...11..1..2..7

%e .15.10.12..3...15..5..2..4...15.10..6.11....2.12.13..4....5.10.12..9

%e ..5.11..6.13...10..6.11.13....5..3.13..4...10..5..6.11....6..3.13..4

%Y Column 1 is A264791.

%Y Row 1 is A264656.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Nov 26 2015

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Last modified December 2 17:30 EST 2021. Contains 349445 sequences. (Running on oeis4.)