Tau of n squared
Rule
Each term is: The number squared, then take the number of the divisors
Known as: Tau of n squared
The number of divisors of n squared.
The first 50 terms (starting from n=1) are:
1 3 3 5 3 9 3 7 5 9 3 15 3 9 9 9 3 15 3 15 9 9 3 21 5 9 7 15 3 27 3 11 9 9 9 25 3 9 9 21 3 27 3 15 15 9 3 27 5 15
Example
To get the value for n=12:
- Square the number, giving 144.
- Find the number's divisors, giving 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Count them, giving 15.
So the result is 15.