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.

A327132 Last cell visited by knight moves on a spirally numbered hexagonal board of edge-length n, moving to the lowest unvisited cell at each step.

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%I A327132 #8 Aug 22 2019 17:45:11
%S A327132 1,1,1,34,45,76,98,135,181,234,290,338,413,487,566,654,742,823,930,
%T A327132 1051,1169,1291,1414,1548,1685,1813,1968,2138,2304,2455,2632,2815,
%U A327132 3016,3187,3388,3597,3803,4026,4246,4473,4714,4948,5194,5447,5702,5969,6244,6514
%N A327132 Last cell visited by knight moves on a spirally numbered hexagonal board of edge-length n, moving to the lowest unvisited cell at each step.
%C A327132 A hexagonal board of edge-length 3, for example, is numbered spirally as:
%C A327132 .
%C A327132       17--18--19
%C A327132      /
%C A327132     16   6---7---8
%C A327132    /    /         \
%C A327132   15   5   1---2   9
%C A327132    \    \     /   /
%C A327132     14   4---3  10
%C A327132      \          /
%C A327132       13--12--11
%C A327132 .
%C A327132 In Glinski's hexagonal chess, a knight (N) can move to these (o) cells:
%C A327132 .
%C A327132       . . . . .
%C A327132      . . o o . .
%C A327132     . o . . . o .
%C A327132    . o . . . . o .
%C A327132   . . . . N . . . .
%C A327132    . o . . . . o .
%C A327132     . o . . . o .
%C A327132      . . o o . .
%C A327132       . . . . .
%C A327132 .
%C A327132 a(n) stays constant at 72085 for n >= 177 since 72085 is also the last cell visited by knight moves on a spirally numbered infinite hexagonal board, moving to the lowest unvisited cell at each step.
%H A327132 Sangeet Paul, <a href="/A327132/b327132.txt">Table of n, a(n) for n = 1..200</a>
%H A327132 Chess variants, <a href="https://www.chessvariants.com/hexagonal.dir/hexagonal.html">Glinski's Hexagonal Chess</a>
%H A327132 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 A327132 Cf. A308312, A327131.
%K A327132 nonn
%O A327132 1,4
%A A327132 _Sangeet Paul_, Aug 22 2019