The one was the Fibonacci Sequence.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

Start with one.
There's nothing before it, so it stays one for the next number as well.
The second one has a one before it, 1 + 1 = 2.
The two has a one before it, 2 + 1 = 3
The three has a two before it, 3 + 2 = 5
And it just keeps going infinitely.
A graph of it is supposed to be a spiral that represents perfection.

The other one, about what the guy likes, he liked numbers that were perfect squares.