cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A329483 Number of quasi-magic (only short lines are magic) knight's tours on a 4 X 2n board.

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%I A329483 #16 Feb 01 2022 00:30:51
%S A329483 0,0,0,4,12,28,136,488,2624,12420,64120,313584,1675648,8536072
%N A329483 Number of quasi-magic (only short lines are magic) knight's tours on a 4 X 2n board.
%C A329483 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.
%H A329483 G. P. Jelliss, <a href="https://www.mayhematics.com/j/gpj26.htm">Quasi-Magic Tours</a>, The Games and Puzzles Journal #26, April-June 2003.
%H A329483 Awani Kumar, <a href="https://arxiv.org/abs/1802.09340">Studies in Tours of Knight on Rectangular Boards</a>, arXiv:1802.09340 [math.GM], 2018.
%e A329483 Example of 4 X 14 quasi-magic knight's tour. All short lines sum to 114 and the long lines sum to 397 and 401, that is, 399 +- 2.
%e A329483    3 56 25 32  5 52 21 36  9 48 11 40 15 44
%e A329483   26 29  4 53 24 33  8 49 20 37 18 43 12 41
%e A329483   55  2 31 28 51  6 35 22 47 10 39 14 45 16
%e A329483   30 27 54  1 34 23 50  7 38 19 46 17 42 13
%Y A329483 Cf. A328816, A329370.
%K A329483 nonn,hard,more
%O A329483 1,4
%A A329483 _Awani Kumar_, Nov 14 2019