A formula for the convergents of a continued fraction of Ramanujan
  In Entry 16, Chapter 16 of his notebooks, Ramanujan himself gave a formula for the convergents of the famous Rogers-Ramanujan continued fraction. We provide a similar formula for the convergents of a more general continued fraction, namely Entry 15 of Chapter 16. 
Gaurav Bhatnagar, Michael D. Hirschhorn
math.CA