See one of the comments in http://oeis.org/A002487 for one possible answer. The reference is to D. E. Knuth, Problem 10906, American Mathematical Monthly; solution by Moshe *Newman*, American Mathematical Monthly, 110 (No. 7, 2003), 642-643. On Sat, Oct 12, 2013 at 12:15 PM, Warren D Smith <warren.wds@gmail.com>wrote:

What is "Newman's rational counter"?

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