A sequence for π day:

3,1,1,1,1,1,1,1,1,1,5,5,5,...

What does it represent?

If you want the answer, that's enough terms for a unique hit in the OEIS. Put any spoiler replies under a content warning, please.

Here's an integer sequence that isn't in the #OEIS yet:

1,1,1,1,2,1,1,2,1,2,2,1,2,3,1,1,2,3,1,2,2,3,1,2,3,3,1,2,3,4,1,1,2,3,4,...

Can you guess the next few terms? Can you guess the general rule?

I haven't done one of these for a while, but the usual rules apply:

* You can ask for hints. Say if you want a big, medium or small hint.
* Put any guesses under a content warning.
* If nobody correctly guesses it, I'll post the answer in a week or so.

#ICBINIOEIS #puzzle #IHaveAnAnswer

(edit: fixed a typo. It now starts 1,1,1,1,2 instead of 1,2,1,1,1,2)

What's the next term in this sequence?

1, 2, 1, 3, 1, 4, 2, 5, 1, 6, 2, 3, 7, 8, 4, 3, 1, 9, 2, 10, 5

What's the pattern?