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LOGO Challenge - Circles as Bugs

Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.

1 Step 2 Step

Age 11 to 14 Challenge Level:

Liam's house has a staircase with $12$ steps. He can go down the steps one at a time or two at a time.
For example, he could go down $1$ step, then $1$ step, then $2$ steps, then $2$, $2$, $1$, $1$, $1$, $1$.

1 or 2?

In how many different ways can Liam go down the $12$ steps, taking one or two steps at a time?

 
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