Broken bracelets, Molien series, paraffin wax and an elliptic curve of   conductor 48
  This paper introduces the concept of necklace binomial coefficients motivated by the enumeration of a special type of sequences. Several properties of these coefficients are described, including a connection between their roots and an elliptic curve. Further links are given to a physical model from quantum mechanical supersymmetry as well as properties of alkane molecules in chemistry. 
Tewodros Amdeberhan and Mah\.ir B\.ilen Can and Victor H. Moll
math.CO math.NT