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 A309273 Number of semi-magic (only short lines are magic) knight's tours on a 4 X n board. 3
 0, 0, 0, 0, 0, 0, 9, 16, 38, 104, 267, 608, 1444, 3480, 8221, 19212, 45262, 213280, 250247, 587072, 1378912, 3237456 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 LINKS Table of n, a(n) for n=1..22. 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 7 semi-magic knight's tour (only short lines are magic): +----+----+----+----+----+----+----+ | 9 | 28 | 7 | 18 | 3 | 24 | 13 | +----+----+----+----+----+----+----+ | 6 | 17 | 10 | 25 | 14 | 21 | 2 | +----+----+----+----+----+----+----+ | 27 | 8 | 15 | 4 | 19 | 12 | 23 | +----+----+----+----+----+----+----+ | 16 | 5 | 26 | 11 | 22 | 1 | 20 | +----+----+----+----+----+----+----+ . Example 4 X 16 semi-magic knight's tour (only short lines are magic): 1 62 3 36 29 38 19 58 25 44 17 56 23 52 15 54 32 35 30 61 4 59 26 45 18 57 24 43 16 55 12 51 63 2 33 28 37 6 39 20 47 8 41 22 49 10 53 14 34 31 64 5 60 27 46 7 40 21 48 9 42 13 50 11 CROSSREFS Cf. A079137, A123936, A309271. Sequence in context: A134937 A076431 A221856 * A358627 A282470 A067956 Adjacent sequences: A309270 A309271 A309272 * A309274 A309275 A309276 KEYWORD nonn,more AUTHOR Awani Kumar, Jul 20 2019 STATUS approved

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Last modified December 1 23:26 EST 2023. Contains 367503 sequences. (Running on oeis4.)