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%I #3 Nov 21 2015 07:31:12
%S 1,1,1,1,1,1,2,7,6,1,4,56,80,23,1,8,348,3196,2051,84,2,24,4672,171962,
%T 465584,59845,897,4,72,93864,17647792,207022624,110630784,3406328,
%U 9292,8,216,1776576,2685878592
%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 3 and columns nondecreasing modulo 5.
%C Table starts
%C .1....1.......1.........2.........4........8.........24......72.216
%C .1....1.......7........56.......348.....4672......93864.1776576
%C .1....6......80......3196....171962.17647792.2685878592
%C .1...23....2051....465584.207022624
%C .1...84...59845.110630784
%C .2..897.3406328
%C .4.9292
%e Some solutions for n=3 k=4
%e ..6..0.10..5....0.10..1.11....0..3..1.10...10..2..5.11....0..7.10.11
%e ..3..1.11..2....6..5..8..2....6..9.11..5....0..4..1..7....6..3..5..2
%e ..9..7..4..8....3..9..4..7....7..4..2..8....3..9..6..8....9..4..1..8
%Y Column 1 is A264656.
%Y Row 1 is A264557.
%K nonn,tabl
%O 1,7
%A _R. H. Hardin_, Nov 21 2015
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