

A268273


Negabinary odious numbers (see comment).


6



1, 3, 4, 6, 9, 11, 12, 15, 16, 18, 21, 23, 24, 26, 29, 30, 33, 35, 36, 38, 41, 43, 44, 47, 48, 50, 53, 54, 57, 59, 60, 63, 64, 66, 69, 71, 72, 74, 77, 78, 81, 83, 84, 86, 89, 91, 92, 95, 96, 98, 101, 103, 104, 106, 109, 110, 113, 115, 116, 119, 120, 122, 125
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OFFSET

1,2


COMMENTS

Recall that a number n>=1 is defined as odious number (A000069) if its binary expansion contains an odd number of 1's, or such n that ThueMorse sequence A010060(n)=1. Sequence A269027 is essentially ThueMorse sequence in "negabinary", i.e., in base 2. So a number n for which A269027(n)=1 it is natural to call "negabinary odious".


LINKS

Peter J. C. Moses, Table of n, a(n) for n = 1..2000
Vladimir Shevelev, Two analogs of ThueMorse sequence, arXiv:1603.04434 [math.NT], 2016.
Eric Weisstein's World of Mathematics, Negabinary


MATHEMATICA

b = 2; Select[Range[0, 125], Function[k, OddQ@ Total@ Rest@ Reverse@ Mod[NestWhileList[(#  Mod[#, b])/b &, k, # != 0 &], b]]] (* Michael De Vlieger, Mar 03 2016, after Robert Lozyniak at A039724 *)


CROSSREFS

Cf. A010060, A000069, A039724, A268272, A269027.
Sequence in context: A213040 A173318 A153380 * A034027 A184795 A285412
Adjacent sequences: A268270 A268271 A268272 * A268274 A268275 A268276


KEYWORD

nonn,base


AUTHOR

Vladimir Shevelev, Mar 02 2016


EXTENSIONS

More terms from Peter J. C. Moses, Mar 02 2016


STATUS

approved



