Optimal pebbling of complete binary trees and a meta-Fibonacci sequence

Published 15 Sep 2021 in math.CO | (2109.07328v1)

Abstract: In this paper, we present a new method for determining the optimal pebbling number of a complete binary tree. This method reveals a curious connection between the optimal pebbling numbers of complete binary trees and the Conolly-Fox sequence, a type of meta-Fibonacci sequence.

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