5
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Be forewarned: this is a riddle in the spirit of riddles.

Given the following:

...4522222222255555555599999999

What are the next digits?

Note: I did not specify the number of digits you should give, because, if you know the answer, you can continue to correctly add an arbitrarily large number of digits.

I could ask you give the next 4 or 5 digits, but you would probably want to give more than 4 or 5 digits.

Hint:

the next 7 digits are 999999999

...But why?......

Sound out what you see... 3 dots, 1 four, 1 five, 9 twos, 6 fives, followed by 3 fives, then 8 nines.

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  • $\begingroup$ How do I give a hint and how do I provide the (an) answer to the question? $\endgroup$ – user21896 May 4 '16 at 17:29
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    $\begingroup$ You can edit the post and add the hint in the spoiler (it starting with >! ) $\endgroup$ – Arulkumar May 4 '16 at 17:31
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    $\begingroup$ Question was first asked on another StackExchange site, but it refered to a 'decimal expansion' there. We may be looking at a fraction here. $\endgroup$ – Tim Couwelier May 4 '16 at 17:35
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    $\begingroup$ I don't see why this got so many downvotes besides maybe that the last hint was a little too strong. $\endgroup$ – SendersReagent May 5 '16 at 1:20
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    $\begingroup$ The last hint is not so much "a little too strong" as "answering the question". $\endgroup$ – Gareth McCaughan Jun 1 '16 at 16:04
21
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It's the:

digits of π, just with every other digit stating the number of the following one.

So 3 point(s), 1 4, 1 5, 9 2s, 6 5s, 3 5s, 8 9s, 7 9s, 3 2s, 3 8s, ...

To expand the sequence: ...45222222222555555555999999999999999222888 ...

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