Sequences Derived from the Symmetric Powers of {1, 2, …, k}

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For a fixed integer k, we define a sequence Ak = (ak (n))n≥0 and a corresponding sparse subsequence Sk using the cardinality of the n-th symmetric power of the set {1, 2, …, k}. For k ∈ {2, …, 8}, we find recursive formulas for Sk, and show that the values ak (0), ak (1), and ak (3) are sufficient for constructing Ak.

Original languageEnglish
Article number23.7.5
JournalJournal of Integer Sequences
Issue number7
Publication statusPublished - 2023

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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