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A330758 Number of quasi-magic (only short lines are magic) knight's tours on a 6 X 2n board. 1
0, 0, 0, 28, 34, 484 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A quasi-magic tour is a special type of semi-magic tour in which the non-magic lines add to only two different values. Such tours are of interest on boards where magic tours don't exist.

LINKS

Table of n, a(n) for n=1..6.

G. P. Jelliss, Quasi-Magic Tours, The Games and Puzzles Journal #26, April-June 2003.

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

EXAMPLE

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

CROSSREFS

Cf. A328872, A329483, A330529.

Sequence in context: A134657 A261106 A138687 * A214470 A055576 A281916

Adjacent sequences:  A330755 A330756 A330757 * A330759 A330760 A330761

KEYWORD

nonn,hard,more

AUTHOR

Awani Kumar, Jan 18 2020

STATUS

approved

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Last modified May 28 01:34 EDT 2020. Contains 334671 sequences. (Running on oeis4.)