Two F.6 students, Lin Haopei of Class 6B and Lau Wan of Class 6C, participated in the prestigious Hang Lung Mathematics Awards. This event was co-organized by Hang Lung Properties and The Hong Kong University of Science and Technology. As a part of the competition, they were required to develop and submit a research report, which underwent a rigorous review process by the Screening Panel. Out of the 70-plus teams that entered, the PLKC team, including Lin and Lau, was distinguished as one of the 15 finalists. They were subsequently invited to present their research publicly at an oral defense session, which was followed by a closed-door question-and-answer session with the Scientific Committee’s members— a group consisting of internationally acclaimed mathematicians.

Research Topic: Generalization of Stern’s Diatomic Sequence
Abstract: Stern’s diatomic sequence is defined as a1 = 1, a2k = ak and a2k+1 = ak + ak+1. It has many useful properties such as an / an+1, where n1 runs through all positive rational numbers exactly one time. This research generalizes the coefficient of ak and ak+1 which can be any real number p, r, and s and finds 2 closed forms and some summation formula for them. The research also investigates its properties in number theory when p, r, and s are positive integers.

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