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.

A099356 From P-positions in a certain game.

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%I A099356 #10 Nov 23 2014 03:43:13
%S A099356 0,1,3,4,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,
%T A099356 29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,
%U A099356 55,56,57,58,59,60,61,62,63,64,65,66,67,68,69
%N A099356 From P-positions in a certain game.
%H A099356 Nathaniel Johnston, <a href="/A099356/b099356.txt">Table of n, a(n) for n = 0..10000</a>
%H A099356 A. S. Fraenkel, <a href="http://www.emis.de/journals/INTEGERS/papers/eg6/eg6.Abstract.html">New games related to old and new sequences</a>, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.
%F A099356 Let a(n) = this sequence, b(n) = A099357. Then a(n) = the smallest number not in {a(0), b(0), a(1), b(1), ..., a(n-1), b(n-1)}; b(n) = b(n-1) + (-1)^a(n-1)*a(n-1) + a(n) + 1. Apart from initial zero, complement of A099357.
%p A099356 a:=proc(n) option remember: local j, t: if(n=0)then return 0: else t:=a(n-1)+1: for j from 0 to n-1 do if(t=b(j))then return t+1: elif(t<b(j))then break: fi: od: return t: fi: end:
%p A099356 b:=proc(n) option remember: if(n=0)then return 0: else return b(n-1) + (-1)^a(n-1)*a(n-1) + a(n) + 1: fi: end:
%p A099356 seq(a(n), n=0..70); # _Nathaniel Johnston_, Apr 28 2011
%Y A099356 Cf. A099352 - A099355.
%K A099356 nonn,easy
%O A099356 0,3
%A A099356 _N. J. A. Sloane_, Nov 16 2004