A126001 - OEIS

%I #10 Oct 22 2018 12:45:07

%S 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 81,84,85,88,89,92,93,128,129,132,133,136,137,140,141,144,145,148,149,

%U 152,153,156,157,192,193,196,197,200,201,204,205,208,209,212,213,216

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

%C In these games, the left can always win if he is to play second.

%H Antti Karttunen, <a href="/A126001/b126001.txt">Table of n, a(n) for n = 1..16386</a>

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

%o (PARI)

%o 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 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 k=0; n=0; while(k<16386, if(A320006(n), k++; write("b126001.txt", k, " ", n)); n++);

%Y Characteristic function (A320006) occurs as row 0 of A125999.

%Y Cf. A125991, A126003, A126004, A126005.

%K nonn

%O 1,3

%A _Antti Karttunen_, Dec 18 2006