The so-called Fibonacci numbers in ancient and medieval India
The sequence of numbers 0,1,1,2,3,5,8,13 wherein the n-th term \(u_ n\) is given by \(u_ n=u_{n-1}+u_{n-2}\) is attributed to Leonardo Fibonacci. But the sequence was used by Indian authorities before Leonardo's time in their works on metric. The method of their formation was given by Virahaṅka (between 600 A.D. and 800 A.D.), Gopala (prior to 1135 A.D.) and Hemacandra (1150 A.D.), all prior to Fibonacci (1202 A.D.). Nārāyaṇa Paṇdita (1356 A.D.) established a relation between Smāsika Paṅkti and the multinomial coefficients. Fibonacci numbers are only a particular case of Smāsika Paṅkti.
scientific article; zbMATH DE number 3916205