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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.
5
1, 1, 1, 2, 3, 1, 4, 15, 6, 1, 12, 130, 170, 23, 1, 36, 1944, 9656, 3089, 112, 1, 144, 40188, 1369408, 1685728, 106568, 561, 1, 576, 1149120, 275062400, 1816673024, 410210112, 4676432, 3519, 2, 2880, 49148112, 89203565824
OFFSET
1,4
COMMENTS
Table starts
.1....1.......2.........4.........12........36.........144......576.2880
.1....3......15.......130.......1944.....40188.....1149120.49148112
.1....6.....170......9656....1369408.275062400.89203565824
.1...23....3089...1685728.1816673024
.1..112..106568.410210112
.1..561.4676432
.1.3519
.2
EXAMPLE
Some solutions for n=3 k=4
..0..1..7..9....0..9..1..7....0..1..9..7....8..7..1..9....9..7..1..3
..4..8..2.10....8..2..3.11....2..4.10..8....2..0..4.10...10..0..2..4
..6.11..3..5....4..6.10..5....6..5..3.11....6..3..5.11....6..8..5.11
CROSSREFS
Row 1 is A111942(n+1).
Sequence in context: A318685 A270312 A169625 * A264704 A264659 A371295
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 25 2015
STATUS
approved