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.

A327131 Cells visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step.

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%I A327131 #18 Apr 05 2020 03:15:16
%S A327131 1,20,6,9,4,8,5,10,13,2,14,7,11,22,3,15,12,23,26,29,16,19,34,54,17,31,
%T A327131 50,47,24,21,18,32,35,55,30,27,45,68,25,42,39,36,33,53,78,48,51,76,
%U A327131 106,49,73,28,46,43,40,37,58,84,87,60,63,41,69,72,101,67,44
%N A327131 Cells visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step.
%C A327131 The infinite hexagonal board is numbered spirally as:
%C A327131 .
%C A327131       17--18--19...
%C A327131      /
%C A327131     16   6---7---8
%C A327131    /    /         \
%C A327131   15   5   1---2   9
%C A327131    \    \     /   /
%C A327131     14   4---3  10
%C A327131      \          /
%C A327131       13--12--11
%C A327131 .
%C A327131 In Glinski's hexagonal chess, a knight (N) can move to these (o) cells:
%C A327131 .
%C A327131       . . . . .
%C A327131      . . o o . .
%C A327131     . o . . . o .
%C A327131    . o . . . . o .
%C A327131   . . . . N . . . .
%C A327131    . o . . . . o .
%C A327131     . o . . . o .
%C A327131      . . o o . .
%C A327131       . . . . .
%C A327131 .
%C A327131 This sequence is finite and ends at a(83966) = 72085 when the knight is "trapped".
%H A327131 Sangeet Paul, <a href="/A327131/b327131.txt">Table of n, a(n) for n = 1..83966</a>
%H A327131 Scott R. Shannon, <a href="/A327131/a327131.png">Image showing the 83965 steps of the knight's path</a>. The green central dot is the starting square and the red dot, located on the edge at the 7:30 clock position, the final square. Blue dots show the twelve occupied squares surrounding the final square. The lowest unvisited square, 71301, is the yellow dot on the edge at the 9:00 clock position.
%H A327131 Chess variants, <a href="https://www.chessvariants.com/hexagonal.dir/hexagonal.html">Glinski's Hexagonal Chess</a>
%H A327131 Wikipedia, <a href="https://en.wikipedia.org/wiki/Hexagonal_chess#Gli%C5%84ski&#39;s_hexagonal_chess">Hexagonal chess - GliƄski's hexagonal chess</a>
%Y A327131 Cf. A316667, A327132.
%K A327131 nonn,fini,full
%O A327131 1,2
%A A327131 _Sangeet Paul_, Aug 22 2019