Yoshiya Kudo

The Permutation Property of Greedy Sequences under a Density Condition on the Forbidden Set: Applications to OEIS A121878 and A329405

Let B be a set of positive integers, called the forbidden set. Consider the greedy sequence obtained by repeatedly choosing the smallest unused positive integer whose sum with each of the previous at most r terms does not belong to B. If B has natural density β, then under the co...