A329370 Number of semi-magic (only long lines are magic) knight's tours on a 4 X 2n board.

0, 0, 16, 136, 3102, 58356, 1092618

Offset

1,3

Links

Table of n, a(n) for n=1..7.

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 4 X 10 semi-magic knight's tour (only long lines are magic, Magic Constant is 205):
   1 22  3 40 17 34  9 30 13 36
   4 25 20 27  8 29 16 35 10 31
  21  2 23  6 39 18 33 12 37 14
  24  5 26 19 28  7 38 15 32 11

Crossrefs

Cf. A328816.

Sequence in context: A341227 A022581 A278283 * A351698 A114182 A280601

Adjacent sequences: A329367 A329368 A329369 * A329371 A329372 A329373

Keyword

nonn,more

Author

Awani Kumar, Nov 12 2019

Status

approved