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?
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 |