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?
2026-03-27 06:05:28.1774591528
Associative Numbers
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1
The sequence starting with $1$ is OEIS sequence A010062. You might look at the paper of Stolarsky and references therein.