This sequence has simple rules with a major hint in the title.
Part 1) Determine the rule to extend the sequence.
Part 2) Find, with no aids beyond a simple calculator, the 1000th term of this sequence.
(In reply to part 1
I couldn't decide whether to give the rule or make it part 1. I liked the title even though it is rather a giveaway.
When I thought up this sequence a couple weeks ago I wondered if it had any interesting properties. It is in the OEIS https://oeis.org/A034701
but the entry by Erich Friedman is rather sparse.
Part 2 is the actual challenge.
Posted by Jer
on 2016-07-25 11:30:11