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.

A127500 On the triangular peg solitaire board of side n, the shortest solution to any problem beginning with one peg missing and ending with one peg.

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%I A127500 #12 Sep 07 2015 13:20:52
%S A127500 5,9,9,12,13,16,18
%N A127500 On the triangular peg solitaire board of side n, the shortest solution to any problem beginning with one peg missing and ending with one peg.
%C A127500 Shortest means the minimum number of moves, where a move is one or more jumps by the same peg. The reference calculates a(n) up to n=10 and gives the bounds 19<=a(11)<=28, 21<=a(12)<=29, as well as an upper bound for n a multiple of 12. A trivial upper bound is a(n)<=T(n)-2, where T(n) is the n-th triangular number.
%D A127500 Martin Gardner, Penny Puzzles, in Mathematical Carnival, p. 12-26, Alfred A. Knopf, Inc., 1975
%H A127500 George I. Bell, <a href="http://home.comcast.net/~gibell/pegsolitaire/">Triangular Peg Solitaire</a>.
%H A127500 George I. Bell, <a href="http://arXiv.org/abs/math.CO/0703865">Solving Triangular Peg Solitaire</a> [arXiv:math/0703865v4]
%H A127500 G. I. Bell, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL11/Bell/bell2.html">Solving Triangular Peg Solitaire</a>, JIS 11 (2008) 08.4.8
%e A127500 a(4)=5, the 10-hole triangular board can be solved in 5 moves (and always 8 jumps).
%Y A127500 Cf. A000217, A102422.
%K A127500 hard,more,nonn
%O A127500 4,1
%A A127500 George Bell (gibell(AT)comcast.net), Mar 31 2007