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A264794 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.

%I A264794 #5 Nov 25 2015 07:48:42
%S A264794 1,1,1,2,3,1,4,15,6,1,12,130,170,23,1,36,1944,9656,3089,112,1,144,
%T A264794 40188,1369408,1685728,106568,561,1,576,1149120,275062400,1816673024,
%U A264794 410210112,4676432,3519,2,2880,49148112,89203565824
%N A264794 T(n,k)=Number of nXk arrays of permutations of 0..n*k-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.
%C A264794 Table starts
%C A264794 .1....1.......2.........4.........12........36.........144......576.2880
%C A264794 .1....3......15.......130.......1944.....40188.....1149120.49148112
%C A264794 .1....6.....170......9656....1369408.275062400.89203565824
%C A264794 .1...23....3089...1685728.1816673024
%C A264794 .1..112..106568.410210112
%C A264794 .1..561.4676432
%C A264794 .1.3519
%C A264794 .2
%e A264794 Some solutions for n=3 k=4
%e A264794 ..0..1..7..9....0..9..1..7....0..1..9..7....8..7..1..9....9..7..1..3
%e A264794 ..4..8..2.10....8..2..3.11....2..4.10..8....2..0..4.10...10..0..2..4
%e A264794 ..6.11..3..5....4..6.10..5....6..5..3.11....6..3..5.11....6..8..5.11
%Y A264794 Row 1 is A111942(n+1).
%K A264794 nonn,tabl
%O A264794 1,4
%A A264794 _R. H. Hardin_, Nov 25 2015