cp's OEIS Frontend

A328872 Number of semi-magic (only short lines are magic) knight's tours on a 6 X n board.

%I A328872 #14 Feb 01 2022 00:30:15
%S A328872 0,0,0,0,0,88,288,1880,9994,93718,660282,4310970
%N A328872 Number of semi-magic (only short lines are magic) knight's tours on a 6 X n board.
%H A328872 G. P. Jelliss, <a href="https://www.mayhematics.com/t/mk1.htm">Semi-magic Knight's Tours</a>
%H A328872 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 A328872 Example 6 X 7 semi-magic knight's tour (only short lines are magic):
%e A328872     +----+----+----+----+----+----+----+
%e A328872     |  1 | 28 |  3 |  6 | 31 | 26 | 23 |
%e A328872     +----+----+----+----+----+----+----+
%e A328872     |  4 |  7 | 30 | 27 | 24 | 19 | 32 |
%e A328872     +----+----+----+----+----+----+----+
%e A328872     | 29 |  2 |  5 |  8 | 33 | 22 | 25 |
%e A328872     +----+----+----+----+----+----+----+
%e A328872     | 14 | 41 | 38 | 35 | 20 | 11 | 18 |
%e A328872     +----+----+----+----+----+----+----+
%e A328872     | 39 | 36 | 13 | 16 |  9 | 34 | 21 |
%e A328872     +----+----+----+----+----+----+----+
%e A328872     | 42 | 15 | 40 | 37 | 12 | 17 | 10 |
%e A328872     +----+----+----+----+----+----+----+
%Y A328872 Cf. A309273.
%K A328872 nonn,more
%O A328872 1,6
%A A328872 _Awani Kumar_, Oct 29 2019