A264701
Number of n X 1 arrays of permutations of 0..n-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.
Original entry on oeis.org
1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 192, 576, 1728, 5184, 15552, 46656, 186624, 746496, 2985984, 11943936, 47775744, 191102976, 955514880, 4777574400, 23887872000, 119439360000, 597196800000, 2985984000000, 17915904000000, 107495424000000, 644972544000000
Offset: 1
All solutions for n=8
..6....6....0....0
..0....0....6....6
..7....1....1....7
..1....7....7....1
..2....2....2....2
..3....3....3....3
..4....4....4....4
..5....5....5....5
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Table[Product[Floor[(n + i)/6]!, {i, 0, 5}], {n, 1, 40}] (* Vaclav Kotesovec, Oct 02 2018 *)
A264702
Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.
Original entry on oeis.org
1, 3, 6, 36, 288, 2240, 20736, 264384, 2892672, 63452160, 1528823808, 36691771392, 941182156800, 29143203840000, 803229696000000, 36978425856000000
Offset: 1
Some solutions for n=7
..6..0....0..1....6..7....0..7...12..7...12..7....6..0...12..1....6..0....6.12
.12..7...12..2...12..1...12.13....0..1....0..1...12.13....6.13...12.13....0..7
.13..9....6..8....0.13....6..2....6.13....6..9....3..1....0..7....1..9...13..1
..1..3....7..9....2..8....1..3....8..9...13..3....9..7....2..9....7..3....8..3
..2..4...13..3....4..3....8..9....2..3....2..4....4..2....8.10....8..4....2..4
..8.10....4.11...10..9....4.10...10..4....8.10...10..8....3..5....2..5....9..5
..5.11...10..5....5.11...11..5....5.11....5.11...11..5....4.11...10.11...10.11
A264703
Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.
Original entry on oeis.org
2, 15, 296, 9024, 492480, 30233088, 3589152768, 470304423936, 94978179072000
Offset: 1
Some solutions for n=4
..6..0..9....8..6..0....6..0..1....2..6..1....0..8.10....2..0..6....0..9..7
..8..1..3....2..7..1....7..9..3...10..0..7....6..2..4....8..1..3....6..4..1
..4..7..5....4..3..5....8.10..5....4..8..3....1..9.11...10..7..5....2.10..3
.10..2.11...10..9.11....2..4.11...11..5..9....7..3..5....4..9.11....8..5.11
A264705
Number of 2Xn arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.
Original entry on oeis.org
1, 3, 15, 212, 3712, 96256, 3423168, 158521536, 8362014912, 635861560320, 51551078842368
Offset: 1
Some solutions for n=6
..2..0..8.10..7..1....8..0..6..1..7..3....0..6..4..3..9..7....4..6..8..0..7..9
..4..6..9.11..5..3....4.10..2..5.11..9....8..2.10..5.11..1...10..2.11..5..1..3
A264706
Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6.
Original entry on oeis.org
1, 6, 296, 26304, 4689792, 1263257856, 603321053184
Offset: 1
Some solutions for n=4
.10..8..0..7....8..6..0..7....6..0..8..2....4..0..2..1....0..1..7..9
..4..2..6..1....4..1..5..9....4..7..9..3...10..6..8..9....6..4..2..3
..5..3.11..9...10..2.11..3...10..1.11..5....5..7.11..3....8.10..5.11
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