All posts tagged: Fibonacci

Virahanka Numbers – Part IV

In general in a n matra vrutta prastaar, if n is even the metrical forms will have only even number of Laghus. And if n is odd the metrical forms will have only odd number of Laghus

Virahanka Numbers – Part III

An amazing property of Virahanka’s numbers: Any positive integer can be represented either as a Virahanka number or as a sum of non-consecutive Virahanka numbers (Sankhyaank), without repetition.

Virahanka Numbers – Part II

For the tree graphs used to generate the matra prastaar for quarter having ‘n’ matras, every node will have two branches – first one for G and second one for L, & the branches end when their total matra values become equal to ‘n’

Virahanka Numbers – Part I

Virahanka gave a comprehensive explanation of the Prastaar and Sankhya pratyays for matra vrutta in his Prakrit work Vrattajati samuccaya – Fibonacci sequence is actually the sequence of Virahanka’s Sankhyankas