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A126011 A106486-encodings for the minimal representatives of each equivalence class of the finite combinatorial games.

%I A126011 #8 Nov 05 2013 17:41:28
%S A126011 0,1,2,3,4,6,9,12,18,32,33,36,48,66,67,96,97,129,131,132,134,195,256,
%T A126011 258,264,288,384,386,516,768,4098,4099,4102,4128,4129,4132,4227,4230,
%U A126011 8196,8198,8204,8448,8450,8456,12294,262146,262152,262176,262272
%N A126011 A106486-encodings for the minimal representatives of each equivalence class of the finite combinatorial games.
%C A126011 The initial terms correspond with the following games: code 0 = {|} = the zero game, code 1 = {0|} = game 1, code 2 = {|0} = game -1, code 3 = {0|0} = game *, code 4 = {1|} = game 2, code 6 = {1|0}, code 9 = {0|1} = game 1/2, code 12 = {1|1} = game 1*, code 18 = {-1|0} = game -1/2, code 32 = {|-1} = game -2, code 33 = {0|-1}, code 36 = {1|-1} = game +-1, code 48 = {-1|-1} = game -1*, code 66 = {*|0} = game down, code 67 = {0,*|0} = game up*, code 96 = {*|-1}, code 97 = {0,*|-1}, code 129 = {0|*} = game up, code 131 = {0|0,*} = game down*, code 132 = {1|*}, code 134 = {1|0,*}, code 195 = {0,*|0,*} = game *2, code 256 = {2|} = game 3. Encoding is explained in A106486.
%D A126011 E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Second Edition, Vol. 1, A K Peters, 2001.
%D A126011 John H. Conway, On Numbers and Games, Second Edition, A K Peters, 2001.
%H A126011 A. Karttunen, <a href="/A126011/b126011.txt">Table of n, a(n) for n = 0..73</a>
%H A126011 D. Eppstein, <a href="http://www.ics.uci.edu/~eppstein/cgt/">Combinatorial Game Theory links</a>
%H A126011 A. Karttunen, <a href="/A126000/a126000.scm.txt">Scheme-program for computing this sequence.</a>
%H A126011 A. Siegel, <a href="http://cgsuite.sourceforge.net/">Combinatorial Game Suite</a>
%H A126011 Wikipedia, <a href="http://en.wikipedia.org/wiki/Combinatorial_game_theory">Combinatorial game theory</a>
%H A126011 D. Wolfe, <a href="http://www.gustavus.edu/~wolfe/papers">Several publications about combinatorial game theory</a>
%Y A126011 Records in A126012. Column 1 of A126000. Inverse: A126013. See also A126009 & A126010. A125990 gives the number of terms in range [0, 2^n[.
%Y A126011 Sequences A034797, A034798, A079599 utilize a similar encoding system for impartial games.
%K A126011 nonn
%O A126011 0,3
%A A126011 _Antti Karttunen_, Dec 18 2006
%E A126011 Table of terms added Jan 01 2007.