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A106486-encodings of combinatorial games with value -1.
1

%I #4 Mar 31 2012 13:21:13

%S 2,10,130,138,514,522,642,650,2050,2058,2178,2186,2562,2570,2690,2698,

%T 8194,8202,8322,8330,8706,8714,8834,8842,10242,10250,10370,10378,

%U 10754,10762,10882,10890,32770,32778,32898,32906,33282,33290,33410

%N A106486-encodings of combinatorial games with value -1.

%C These are codes for games which belong to the same equivalence class as the game {|0} (i.e. game -1).

%H A. Karttunen, <a href="/A126000/a126000.scm.txt">Scheme-program for computing this sequence.</a>

%e Game {|0} is encoded as 2^(1+2*0) = 2, thus 2 is the first term of this sequence. Also 10 belongs belongs into this sequence, as it encodes game {|0,1}, where, as the option 0 dominates the option 1, the latter can be deleted, resulting the same game {|0}. Likewise code 8589934592 (= 2^(1+(2*2^(2*2)))) belongs into this sequence, as it encodes the game {|{-1|}}, which is reversible to game -1.

%Y Row 3 of A126000.

%K nonn

%O 1,1

%A _Antti Karttunen_, Dec 18 2006