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%I #3 Nov 26 2015 07:06:34
%S 1,1,1,1,2,1,1,4,3,1,2,15,33,7,1,4,134,495,288,27,1,8,978,17181,32296,
%T 5400,84,1,16,10370,881444,4911976,2648254,165333,533,2,48,114292,
%U 43181739
%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 7.
%C Table starts
%C .1...1......1.......1.......2......4........8.....16.48
%C .1...2......4......15.....134....978....10370.114292
%C .1...3.....33.....495...17181.881444.43181739
%C .1...7....288...32296.4911976
%C .1..27...5400.2648254
%C .1..84.165333
%C .1.533
%C .2
%e Some solutions for n=4 k=4
%e ..0..9..1.14...14..3.15..7...14.15..7..3....0..1.15..7....4..8..0.14
%e ..8..5..2..7....0..4..1..9....0..4..1.10....8.12..9.14...11.15..7..3
%e ..4..6.10.15....8.12..2.11....8.12..2.11....4..6..2.10...12..9..1.10
%e .12.13.11..3...13..5.10..6....9.13..5..6....5.13..3.11....5.13..2..6
%Y Column 1 is A264791.
%Y Row 1 is A264635.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 26 2015