Binary look-and-say sequences
The first look-and-say sequence most people encounter (if they ever encounter one) is the following: 1 11 21 1211 111221 312211 13112221 1113213211 Take a minute to stare at that sequence. Can you figure out what the next term should be? At any point in the sequence, one obtains the next term by reading off…
My favorite mathematician
Several years ago I was interviewing for a job. One of the interviewers asked me who, in all of history, was my favorite mathematician. I was interviewing for a visiting position as a math professor, so it wasn’t a completely crazy question. Still, the question caught me completely off guard. There have been times in…
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