Odious number

In mathematics

In number theory, an odious number is a non-negative number that has an odd number of 1s in its binary expansion.

The first odious numbers are:

1, 2, 4, 7, 8, 11, 13, 14, 16, 19, 21, 22, 25, 26, 28, 31, 32, 35, 37, 38 ... [1]

These numbers give the positions of the nonzero values in the Thue–Morse sequence.

Numbers that are not odious are called evil numbers.

References

  1. ↑ "Sloane's A000069 : Odious numbers: numbers with an odd number of 1's in their binary expansion". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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