The first 16 evil and odious numbers in little-endian binary. It can be seen, that both sequences differ only in the least significant bits, which form the Thue–Morse sequence for the evil, and its negation for the odious numbers. The other bits form the even numbers.
In number theory, an odious number is a positive integer that has an odd number of 1s in its binary expansion. Non-negative integers that are not odious are called evil numbers.
In computer science, an odious number is said to have odd parity.
number theory, an odiousnumber is a positive integer that has an odd number of 1s in its binary expansion. Non-negative integers that are not odious...
In international law, odious debt, also known as illegitimate debt, is a legal theory that says that the national debt incurred by a despotic regime should...
the Thue–Morse set. Non-negative integers that are not evil are called odious numbers. The first evil numbers are: 0, 3, 5, 6, 9, 10, 12, 15, 17, 18,...
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...
the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci...
triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has...
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...
In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that...
"Treason must be made odious" was the most common shorthand rendering of a stump speech (a standardized campaign speech repeatedly made by a politician...
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with...
In number theory, a semiperfect number or pseudoperfect number is a natural number n that is equal to the sum of all or some of its proper divisors. A...
A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n ( n + 1 ) {\displaystyle n(n+1)} . The study...
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are...
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose...
A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the...
In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation: b n ≡ b...
In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy...
In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the divisor function σ(n)) is equal to 2n + 1. Equivalently...
starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the...
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