arXiv:0912.2382math.CO
The Curling Number Conjecture
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
Given a finite nonempty sequence of integers S, by grouping adjacent terms it is always possible to write it, possibly in many ways, as S = X Y^k, where X and Y are sequences and Y is nonempty. Choose the version which maximizes the value of k: this k is the curling number of S. The Curling Number Conjecture is that if one starts with any initial sequence S, and extends it by repeatedly appending the curling number of the current sequence, the sequence will eventually reach 1. The conjecture remains open, but we will report on some numerical results and conjectures in the case when S consists of only 2's and 3's.
The list has 52655 which almost certainly is 852655 sans the initial 8. I also read that he works at Intel and also wrote a paper together with Neil Sloane on some other sequence [1]. But no amount of access to hardware and no more or less straight forward optimization of the…
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