The following are the smallest 9 elements of an infinite set of integers:

0,1,5,6,25,76,376,625,9376

What rule generates the set? What are the next two values?

The sequence given is in fact significant enough that typing the numbers given into the Online Encyclopedia of Integer Sequences will bring up the rule. Either Google search on Integer Sequences, or go directly to http://www.research.att.com/~njas/sequences/ and type or copy in the sequence.

I know this is a thought puzzle, not a research project, but just wanted to point out a valuable web resource, or in case you got hopelessly curious and impatient. (...and possibly even a source for future puzzlers as the sequences are numbered.)

Posted by Charlie on 2003-03-17 17:16:55