Suppose also that each long syllable takes twice as long to articulate as a short syllable. Suppose we assume that lines are composed of syllables which are either short or long.
In particular, about fifty years before Fibonacci introduced his sequence, Acharya Hemachandra (1089 – 1173) considered the following problem, which is from the biography of Hemachandra in the MacTutor History of Mathematics Archive: Historically, it is interesting to note that Indian mathematicians were studying these types of numerical sequences well before Fibonacci.