Problem 52684. Easy Sequences 17: Mu Variant Function

The mobius function is an important arithmetic function. It is often represented by the Greek letter mu (μ), and is sometimes called the "mu function".
In this excercise, we are concerned with a simplified variant of the mobius function called 'muVar'. For a given positive integer 'n', 'muVar(n)' is defined as:
  • equal to 2, if 'n' has at least 1 perfect square divisor greater than 1; or
  • equal to 1, otherwise.
For example, the values of muVar for 1, 10, 20, 30 and 100 are 1, 1, 2, 1 and 2, respectively.
Our task is to create the function 'muVarSum(n)', which is the sum of the outputs of 'muVar' function applied from 1 to n.
Solve

Solution Stats

30.0% Correct | 70.0% Incorrect
Last Solution submitted on Nov 28, 2025

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