Binary partitions revisited

Øystein J. Rødseth, James A. Sellers

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The restricted binary partition function bk(n) enumerates the number of ways to represent n as n = 2a0 + 2a1 + ⋯ + 2aj with 0 ≤ a0 ≤ a1 ≤ ⋯ ≤ aj < k. We study the question of how large a power of 2 divides the difference bk(2r+2n)-bk-2(2rn) for fixed k ≥ 3, r ≥ 1, and all n ≥ 1.

Original languageEnglish (US)
Pages (from-to)33-45
Number of pages13
JournalJournal of Combinatorial Theory. Series A
Issue number1
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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