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Created page with "This sequence guessing puzzle hides a beautiful, well known sequence. ==Puzzle== What comes next: 1, 2, 2, 1, 1, 2, 1, ....? ==Help== {{Hint| Count the number of repeating..."
This sequence guessing puzzle hides a beautiful, well known sequence.
==Puzzle==
What comes next: 1, 2, 2, 1, 1, 2, 1, ....?
==Help==
{{Hint| Count the number of repeating digits.}}
{{Answer| 2}}
{{Solution| This is the famous Kolakoski sequence (see the wikipedia page listed below). The sequence self-encodes the run length of repeated digits. These run lengths are 1, 2, 2, 1, 1, 2, 1,...., which is the sequence again. }}
==Bonus==
Find a sequence using the numbers 1, 2, and 3 that has the same property as the one above.
==References==
[https://en.wikipedia.org/wiki/Kolakoski_sequence Wikipedia page] (contains spoilers).
[[Category:Short puzzles]]
[[Category:Sequences]]
__NOTOC__
==Puzzle==
What comes next: 1, 2, 2, 1, 1, 2, 1, ....?
==Help==
{{Hint| Count the number of repeating digits.}}
{{Answer| 2}}
{{Solution| This is the famous Kolakoski sequence (see the wikipedia page listed below). The sequence self-encodes the run length of repeated digits. These run lengths are 1, 2, 2, 1, 1, 2, 1,...., which is the sequence again. }}
==Bonus==
Find a sequence using the numbers 1, 2, and 3 that has the same property as the one above.
==References==
[https://en.wikipedia.org/wiki/Kolakoski_sequence Wikipedia page] (contains spoilers).
[[Category:Short puzzles]]
[[Category:Sequences]]
__NOTOC__
