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

%I #16 Feb 01 2022 00:30:42

%S 0,0,16,136,3102,58356,1092618

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

%H G. P. Jelliss, <a href="https://www.mayhematics.com/t/mk1.htm">Semi-magic Knight's Tours</a>

%H 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 Example 4 X 10 semi-magic knight's tour (only long lines are magic, Magic Constant is 205):

%e 1 22 3 40 17 34 9 30 13 36

%e 4 25 20 27 8 29 16 35 10 31

%e 21 2 23 6 39 18 33 12 37 14

%e 24 5 26 19 28 7 38 15 32 11

%Y Cf. A328816.

%K nonn,more

%O 1,3

%A _Awani Kumar_, Nov 12 2019

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)