Monthly Archives: October 2009

The hyperbinary sequence and the Calkin-Wilf tree

And now, the amazing conclusion to this series of posts on Neil Calkin and Herbert Wilf’s paper, Recounting the Rationals, and the answers to all the questions about the hyperbinary sequence. Hold on to your hats! The Calkin-Wilf Tree First, … Continue reading

Posted in arithmetic, computation, induction, iteration, number theory, pattern, proof, recursion, sequences, solutions | Tagged , , , , , , | 6 Comments

Hyperbinary conjecture seeking proof for a good time, long walks on the beach

Here’s the latest progress on the hyperbinary sequence. We’re trying to figure out the inverse relation of the function : given a particular number , where does it occur in the hyperbinary sequence? That is, what are the values of … Continue reading

Posted in challenges, pattern, people, proof, sequences | Tagged , , , | 4 Comments

New and improved: bookshelf and Carnival of Mathematics

Two things today: first, I’ve updated my “bookshelf” (go to http://www.mathlesstraveled.com/, scroll down a bit and look in the right margin). The books come from my LibraryThing library, and I’ve now figured out how to write reviews of the books … Continue reading

Posted in books, meta, people | Tagged , ,