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%I #3 Nov 22 2015 11:02:22
%S 1,1,1,1,2,1,1,4,3,1,2,22,48,12,1,4,154,663,474,69,1,8,931,23096,
%T 66528,11552,278,2,16,14160,1602048,18761472,12288000,460672,2524,4,
%U 48,195952,165778944
%N T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 6.
%C Table starts
%C .1....1......1........1........2.......4.........8.....16.48
%C .1....2......4.......22......154.....931.....14160.195952
%C .1....3.....48......663....23096.1602048.165778944
%C .1...12....474....66528.18761472
%C .1...69..11552.12288000
%C .1..278.460672
%C .2.2524
%C .4
%e Some solutions for n=4 k=4
%e .12..2..6..7...12.13..1..9...12..1.14..2...12..0..1..9....0.13..2..7
%e ..0..8..1.13....0..2..7..3....6..7.15..3...13..6..7..3...12..4..8.14
%e ..9.14.10..3....6.14.10.15....0.13..9..5...10..2.14.15....6.10..3.15
%e ..4..5.11.15....4..8..5.11....8..4.10.11....4..8..5.11....1..5..9.11
%Y Column 1 is A264701.
%Y Row 1 is A264635.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 22 2015