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A126001 A106486-encodings of nonnegative combinatorial games, i.e., games whose value is >= 0.

%I A126001 #10 Oct 22 2018 12:45:07
%S A126001 0,1,4,5,8,9,12,13,16,17,20,21,24,25,28,29,64,65,68,69,72,73,76,77,80,
%T A126001 81,84,85,88,89,92,93,128,129,132,133,136,137,140,141,144,145,148,149,
%U A126001 152,153,156,157,192,193,196,197,200,201,204,205,208,209,212,213,216
%N A126001 A106486-encodings of nonnegative combinatorial games, i.e., games whose value is >= 0.
%C A126001 In these games, the left can always win if he is to play second.
%H A126001 Antti Karttunen, <a href="/A126001/b126001.txt">Table of n, a(n) for n = 1..16386</a>
%H A126001 A. Karttunen, <a href="/A126000/a126000.scm.txt">Scheme-program for computing this sequence.</a>
%o A126001 (PARI)
%o A126001 A320006(n) = if(!n,1,my(m=(n>>1), r=0); while(m>0, if((m%2)&&!A320007(r),return(0)); m >>= 2; r++); (1));
%o A126001 A320007(n) = if(!n,0,my(m=n, s=0); while(m>0, if((m%2)&&A320006(s),return(1)); m >>= 2; s++); (0));
%o A126001 k=0; n=0; while(k<16386, if(A320006(n), k++; write("b126001.txt", k, " ", n)); n++);
%Y A126001 Characteristic function (A320006) occurs as row 0 of A125999.
%Y A126001 Cf. A125991, A126003, A126004, A126005.
%K A126001 nonn
%O A126001 1,3
%A A126001 _Antti Karttunen_, Dec 18 2006