A264656
Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
Original entry on oeis.org
1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 96, 288, 864, 2592, 7776, 31104, 124416, 497664, 1990656, 7962624, 39813120, 199065600, 995328000, 4976640000, 24883200000, 149299200000, 895795200000, 5374771200000, 32248627200000, 193491763200000, 1354442342400000
Offset: 1
All solutions for n=8
..5....0....0....5....5....5....0....0
..0....5....5....0....0....0....5....5
..1....6....6....6....6....1....1....1
..6....1....1....1....1....6....6....6
..7....7....2....2....7....2....7....2
..2....2....7....7....2....7....2....7
..3....3....3....3....3....3....3....3
..4....4....4....4....4....4....4....4
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Table[Product[Floor[(n + i)/5]!, {i, 0, 4}], {n, 1, 30}] (* Vaclav Kotesovec, Oct 02 2018 *)
A264657
Number of nX2 arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
Original entry on oeis.org
1, 3, 8, 38, 223, 2412, 26400, 371328, 5636096, 92242944, 2278149120, 57145347072, 1607327566848, 49562666560512
Offset: 1
Some solutions for n=5
..0..5....5..1....6..5....0..1....0..5....6..0....0..5....0..2....6..5....5..7
..2..1....0..6....2..0....5..7....1..7....1..5....6..8....5..7....8..0....0..8
..8..6....3..7....7..1....6..2....6..3....7..3....1..3....1..3....3..1....1..3
..9..7....8..2....8..4....4..8....2..8....2..8....2..4....6..8....9..7....6..4
..4..3....4..9....3..9....9..3....4..9....4..9....7..9....4..9....4..2....2..9
A264658
Number of nX3 arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
Original entry on oeis.org
2, 16, 314, 8944, 437568, 31791360, 3066123264
Offset: 1
Some solutions for n=5
..0..5..1....0..7..5....0.11..5....0.11..5....0..1..5....0..2..6....0..2..5
.10..6.11...10.12.11...10.12..1...10..6.13...10..6.12...10.12.11...10.12.11
.12..2..7....6.14..8....8..2..6....7..1..3...11..7..3....5..7.13....6..3..7
.13..3..9....1..9..3....9..3..7...12..2..8....2..9.13....1..3..9....1..9.13
.14..8..4....2..4.13...14..4.13...14..4..9....8..4.14...14..8..4....8..4.14
A264660
Number of 2Xn arrays of permutations of 0..n*2-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
Original entry on oeis.org
1, 3, 16, 148, 2400, 62800, 2150784, 89051520, 4376959488, 264110948352
Offset: 1
Some solutions for n=5
..2..0..6..5..1....0..7..9..1..5....0..8..1..7..5....2..0..5..3..1
..8..4..3..9..7....2..8..4..6..3....2..4..6..3..9....4..6..8..9..7
A264661
Number of 3Xn arrays of permutations of 0..n*3-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 5.
Original entry on oeis.org
1, 8, 314, 20940, 3084352, 726042624, 284038382592
Offset: 1
Some solutions for n=5
..0..2.10..6..5....0.12..6..2.10....0.10..6..1..7....0.10..7..5..1
..8..7.11..3..1....8..7.11.13..5....8..5.11..9.13....4..2.12..6.11
.14.12..4..9.13....4.14..1..9..3....4.12..2.14..3...14..8.13..9..3
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