|Journal of Integer Sequences, Vol. 11 (2008), Article 08.4.5|
Ron Graham and Nan Zang
Department of Computer Science and Engineering
University of California, San Diego
La Jolla, CA 92093
Our main result is to show that if , then the cost-minimizing jump sequence has the property that the number satisfies for arbitrary and some (depending on ) if and only if is a Pell number.
(Concerned with sequences A000129 and A024581 .)
Received July 14 2008; revised version received October 6 2008. Published in Journal of Integer Sequences, October 18 2008.