Sloane's Online Encyclopedia of Knteger Sequences A000069 states that:
A000069:Odious numbers: numbers with an odd number of 1's in their binary expansion.
(Formerly M1031 N0388)
Location: http://oeis.org/A000069
Sloane's Online Encyclopedia of Knteger Sequences A001969 states that:
A001969 Evil numbers: nonnegative integers with an even number of 1's in their binary expansion.
(Formerly M2395 N0952)
Location: http://oeis.org/A001969
Mathworld states that:
"Returning to Pegg's definition of evil, the fact that pi is evil was noted by Keith, while I. Honig (pers. comm., May 9, 2004) noted that the golden ratio phi is also evil. The following table gives a list of some common evil numbers (Pegg and Lomont)"
Location: https://mathworld.wolfram.com/EvilNumber.html
Therefore odious numbers are the exact opposite of evil numbers.
Puzzle Solution
