A328872 Number of semi-magic (only short lines are magic) knight's tours on a 6 X n board.

0, 0, 0, 0, 0, 88, 288, 1880, 9994, 93718, 660282, 4310970

Offset

1,6

Links

Table of n, a(n) for n=1..12.

G. P. Jelliss, Semi-magic Knight's Tours

Awani Kumar, Studies in Tours of Knight on Rectangular Boards, arXiv:1802.09340 [math.GM], 2018.

Example

Example 6 X 7 semi-magic knight's tour (only short lines are magic):
    +----+----+----+----+----+----+----+
    |  1 | 28 |  3 |  6 | 31 | 26 | 23 |
    +----+----+----+----+----+----+----+
    |  4 |  7 | 30 | 27 | 24 | 19 | 32 |
    +----+----+----+----+----+----+----+
    | 29 |  2 |  5 |  8 | 33 | 22 | 25 |
    +----+----+----+----+----+----+----+
    | 14 | 41 | 38 | 35 | 20 | 11 | 18 |
    +----+----+----+----+----+----+----+
    | 39 | 36 | 13 | 16 |  9 | 34 | 21 |
    +----+----+----+----+----+----+----+
    | 42 | 15 | 40 | 37 | 12 | 17 | 10 |
    +----+----+----+----+----+----+----+

Crossrefs

Cf. A309273.

Sequence in context: A046330 A304519 A261142 * A001347 A003782 A235026

Adjacent sequences: A328869 A328870 A328871 * A328873 A328874 A328875

Keyword

nonn,more

Author

Awani Kumar, Oct 29 2019

Status

approved