The Fibonacci sequence appears in Indian mathematics, going back as early as c. 450 BC–200 BC.
In the Sanskrit poetic tradition, there was interest in enumerating all unique patterns of long (L) syllables of 2 units duration and short (S) syllables of 1 unit duration for a total duration of N. The intriguing result is the N+1th Fibonacci number!
The example below for duration N = 6 shows 13 patterns. F(7) = 13.