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%I #12 Feb 11 2017 02:30:04
%S 0,1,4,5,10,11,16,17,20,21,26,27,34,35,38,39,40,41,44,45,46,47,50,51,
%T 58,59,64,65,68,69,74,75,80,81,84,85,90,91,98,99,102,103,104,105,108,
%U 109,110,111,114,115,122,123,130,131,134,135,136,137,140,141,142
%N Numbers having the same parity of numbers of 1's in bases 2 and -2.
%C Or the numbers n for which the number of 1's in A039724(n) and the number of 1's in the binary expansion of n have the same parity.
%C The sequence contains the Moser-de Bruijn numbers (A000695) as a subsequence.
%C The first differences are: 1, 3, 1, 5, 1, 5, 1, 3, 1, 5, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 7, 1, 5, 1, 3, 1, 5, 1, 5, 1, 3, 1, 5, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 7, 1, 7, 1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 1, 5, 1, 3, 1, 1, 1, 1, 1, 3, 1, ...
%C Is this sequence unbounded?
%H Vladimir Shevelev, <a href="http://arxiv.org/abs/1603.04434">Two analogs of Thue-Morse sequence</a>, arXiv:1603.04434 [math.NT], 2016.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Moser-deBruijnSequence.html">Moser-de Bruijn Sequence</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Negabinary.html">Negabinary</a>
%Y Cf. A010060, A039724, A000695, A268865, A268866.
%K nonn,base
%O 0,3
%A _Vladimir Shevelev_, Feb 17 2016
%E More terms from _Peter J. C. Moses_, Feb 17 2016
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