login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 4.
4

%I #3 Nov 19 2015 13:53:36

%S 1,1,1,1,1,1,2,8,6,1,4,55,149,30,2,8,572,5080,3741,284,4,24,5928,

%T 364544,1185056,199456,2344,8,72,113808,46305472,715001088,503460352,

%U 18120064,31632,16,216,2536688,6958619648

%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 4.

%C Table starts

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

%C ..1.....1........8........55.......572.....5928.....113808.2536688

%C ..1.....6......149......5080....364544.46305472.6958619648

%C ..1....30.....3741...1185056.715001088

%C ..2...284...199456.503460352

%C ..4..2344.18120064

%C ..8.31632

%C .16

%e Some solutions for n=3 k=4

%e ..9..0..8..5....2..5.11..8....0..1..4..8....0..6..8..5...10..1..4..8

%e ..1..4..7.10...10..1..7..4....9..3..5..2....9.10..4..1....6..9..3..0

%e ..3..6.11..2....6..9..3..0....6..7.10.11....3..7..2.11....7..2.11..5

%Y Column 1 is A264635.

%Y Row 1 is A264557.

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_, Nov 19 2015