A309271 Number of magic knight's tours on a 4 X 2n board.

0, 0, 0, 0, 0, 0, 0, 0, 16, 88, 464, 2076, 9904, 47456

Offset

1,9

References

M. Kraitchik, Mathematical Recreations, Dover, 1953, 257-266.

Links

Table of n, a(n) for n=1..14.

G. P. Jelliss, Oblong Magic Knight Tours

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

Example

An example of a magic knight's tour on a 4 X 18 board. All rows sum to 657 and all columns sum to 146:
    1 70 33 40  5 42  9 66 29 62 27 58 13 52 25 56 19 50
   36 39  4 69 32 65  6 43 10 45 14 61 26 57 20 51 24 55
   71  2 37 34 41  8 67 30 63 28 59 12 47 16 53 22 49 18
   38 35 72  3 68 31 64  7 44 11 46 15 60 21 48 17 54 23

Crossrefs

Cf. A079137, A123936, A309273.

Sequence in context: A022676 A035291 A358084 * A120045 A301794 A301967

Adjacent sequences: A309268 A309269 A309270 * A309272 A309273 A309274

Keyword

nonn,more

Author

Awani Kumar, Jul 20 2019

Status

approved