Mobius Multiplications

The classical Mobius function µ(n) is an important multiplicative function in number theory and combinatorics. µ(n) is defined for all positive integers n and has its values in {-1, 0, 1} depending on the factorization of n into prime factors. It is defined as follows: * µ(n) = 1 if n is a square-free positive integer with an even number of prime factors. * µ(n) = -1 if n is a square-free positi