A330610
Number of near-magic (only short lines are magic) knight's tours on a 4 X 2n board.
Original entry on oeis.org
0, 0, 0, 4, 16, 72, 244, 1012, 3976, 18440, 81252, 388188, 1800728, 8769964
Offset: 1
Example of 4 X 14 near-magic knight's tour. All short lines add to 114 and the long lines add to the magic constant 399 and 399 +- 4.
1 54 25 32 5 36 23 50 19 44 9 40 15 46
28 31 4 53 24 51 20 35 8 39 14 45 10 41
55 2 29 26 33 6 37 22 49 18 43 12 47 16
30 27 56 3 52 21 34 7 38 13 48 17 42 11
A330529
Number of quasi-magic (only long lines are magic) knight's tours on a 4 X 2n board.
Original entry on oeis.org
0, 0, 4, 10, 30, 48, 170, 710, 2492
Offset: 1
Example of 4 X 14 quasi-magic knight's tour. All long lines sum to 399 and the short lines sum to either 112 or 126.
3 52 19 40 1 50 21 42 13 48 23 30 11 46
18 39 2 51 20 41 14 49 22 29 12 47 24 31
53 4 37 16 55 6 35 28 43 8 33 26 45 10
38 17 54 5 36 15 56 7 34 27 44 9 32 25
A330758
Number of quasi-magic (only short lines are magic) knight's tours on a 6 X 2n board.
Original entry on oeis.org
0, 0, 0, 28, 34, 484
Offset: 1
Example of 6 X 10 quasi-magic knight's tour. All short lines add to 183 and the long lines add to either 299 or 311, that is, 305 +- 6.
01 20 59 42 17 26 29 44 15 46
60 41 02 19 28 43 16 47 30 13
21 04 39 58 25 18 27 14 45 48
40 57 22 03 54 51 08 33 12 31
05 38 55 24 07 36 53 10 49 34
56 23 06 37 52 09 50 35 32 11
A330611
Number of near-magic (only long lines are magic) knight's tours on a 4 X 2n board.
Original entry on oeis.org
0, 0, 2, 16, 22, 112, 330, 1304, 6322
Offset: 1
Example of 4 x 14 near-magic knight's tour. All long lines add to 399 and the short lines add to the magic constant 114 and 114 +- 4.
1 54 25 32 5 52 23 48 9 38 11 40 17 44
28 31 4 53 24 33 6 37 20 47 18 43 14 41
55 2 29 26 51 22 35 8 49 10 39 12 45 16
30 27 56 3 34 7 50 21 36 19 46 15 42 13
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