Jacobsthal numbers and alternating sign matrices

Darrin D. Frey, James A. Sellers

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Let A(n) denote the number of n n alternating sign matrices and J m the m th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.

Original languageEnglish (US)
JournalJournal of Integer Sequences
Volume3
Issue number2
StatePublished - Dec 1 2000
Externally publishedYes

Keywords

  • Alternating sign matrices
  • Jacobsthal numbers

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