13

There is no external source required, this relies only on maths.

Each line is independent from the others.
Can you find the pattern and fill in the blanks ? 

1 : 0 0 0
2 : 1 2 3
3 : 4 2 9 
4 : 1 2 3
5 : 7 7 9
6 : 4 0 6
7 : 2 4 9
8 : _ _ _
9 : 7 5 8
10: 5 9 5
11: _ _ _
12: _ _ _

Hint :

_A_B_C________________________________________________...

_ stands for 1 digit.

Red-Jeweled
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1 Answers1

11

8:

9 8 9

11:

4 5 5

12:

3 0 5

The numbers are

the first three odd decimal digits of n^(1/n). For example, 2 gives us 1,414213...

cpj
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    what the...? how did you end up looking in that direction? – Marius May 25 '16 at 11:56
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    Well, it was a small step from "grounded" to "roots", the missing sequence for 8 8pointed me towards cubic roots initially, which worked with 3, but not the others... it was not too hard to connect the dots from there on. – cpj May 25 '16 at 12:00