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.

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

Links

Table of n, a(n) for n=1..39.

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

Adjacent sequences: A264791 A264792 A264793 * A264795 A264796 A264797

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 25 2015

Status

approved