Tau of n cubed
Rule
Each term is: The number cubed, then take the number of the divisors
Known as: Tau of n cubed
The number of divisors of n cubed.
The first 50 terms (starting from n=1) are:
1 4 4 7 4 16 4 10 7 16 4 28 4 16 16 13 4 28 4 28 16 16 4 40 7 16 10 28 4 64 4 16 16 16 16 49 4 16 16 40 4 64 4 28 28 16 4 52 7 28
Example
To get the value for n=12:
- Cube the number, giving 1728.
- Find the number's divisors, giving 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
- Count them, giving 28.
So the result is 28.