Newsgroups: rec.puzzles
From: hoey@zogwarg.etl.army.mil (Dan Hoey)
Date: 20 Dec 90 21:01:32 GMT
Subject: Re: Another 10-digit puzzle (no spoilers)

pa...@cbnewsd.att.com (paul.h.nelson) writes:

>Find the corresponding answer, for base 16, i.e., find a 16-digit number:

That is trivial if you know the ten-digit one, which has been posted
many times in the last week (though without proof of uniqueness).  How about:

Describe all sequences (d[0], d[1], ..., d[n]) such that d[i] is the
number of i's in the sequence.

There is an infinite set containing one such sequence for every n>3,
and in particular including the ten-digit solution I forbear to post.
Don't bother responding unless you either (1) know one not in that
infinite set or (2) can prove that's all there are, at least for some
values of n.

Dan