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Palindromic sequences (Posted on 2005-10-31) Difficulty: 3 of 5
1,1
1,2,1
1,3,2,3,1
1,4,3,2,3,4,1
1,5,4,3,5,2,5,3,4,5,1
1,6,5,4,3,5,2,5,3,4,5,6,1

What are the next several lines and how are they formed?

Do the sequences have any special feature?

Does the pattern continue indefinitely?

See The Solution Submitted by Bob Smith    
Rating: 3.7143 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips An idea | Comment 8 of 16 |
I believe this sequence is NOT related to prime numbers.  Either the prime numbers are a coincidence for the first few sequences, OR they are an interesting result of an algorithm that doesn't have anything to do with them.

So my answer to question 2 is "The number of terms in each sequence forms the sequence of prime numbers."  I haven't yet thought deeply about question 3.

Great sequence!

  Posted by Tristan on 2005-10-31 20:33:18
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