==> 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?