Extending Zeckendorf's Theorem to a Non-constant Recurrence and the Zeckendorf Game on this Non-constant Recurrence Relation

Elżbieta Bołdyriew, Anna Cusenza, Linglong Dai +16

Zeckendorf's Theorem states that every positive integer can be uniquely represented as a sum of non-adjacent Fibonacci numbers, indexed from $1,2,3,5,\dots$. This has been gene…