Yesterday my friend wrote a number on a paper. He then added the number of ones in the binary representation of the number to that number and formed a new number. He kept doing the process infinitely. So he got a chain of numbers say A->B->C->D ...so on In this Chain B is said to be associated with A, C with A & B both, D with A, B & C all and so on. He observed some relation in these numbers. Can anybody tell how are these numbers associated with each other?
Asked
Active
Viewed 45 times
2
-
3your friend has infinitely too much time on his hands – Will Jagy Aug 25 '14 at 04:32
-
ok.but there is some relation in these numbers obtained.I am not getting what is this.please tell me if you know – Kme Aug 25 '14 at 04:34
1 Answers
2
The sequence starting with $1$ is OEIS sequence A010062. You might look at the paper of Stolarsky and references therein.
Robert Israel
- 448,999