==> pickover/pickover.16.p <==
Title: Cliff Puzzle 16: Undulating Squares
From: cliff@watson.ibm.com
If you respond to this puzzle, if possible please send me your name,
address, affiliation, e-mail address, so I can properly credit you if
you provide unique information. PLEASE ALSO directly mail me a copy of
your response in addition to any responding you do in the newsgroup. I
will assume it is OK to describe your answer in any article or
publication I may write in the future, with attribution to you, unless
you state otherwise. Thanks, Cliff Pickover
* * *
A square number is of the form y=x**2. For example, 25 is a square
number.
Undulating numbers are of the form: ababababab... For example, the
following are undulating numbers: 1717171, 282828, etc.
1. Are there any undulating square numbers?
2. Are there any undulating cube numbers?