The Fibonacci sequence was described by Indian prosodists centuries before Fibonacci, while counting poetic rhythms.
Virahāṅka (c. 700 CE), building on Piṅgala, gave the rule that the number of rhythm patterns of a given length is the sum of the previous two — the Fibonacci recurrence.
— Virahāṅka (c. 700 CE), after Piṅgala; Hemachandra c. 1150
The Fibonacci sequence (Leonardo of Pisa, 1202).
A genuine, defensible parallel.
Counting how many ways short (1-beat) and long (2-beat) syllables can fill a line of a given length leads exactly to the Fibonacci numbers: patterns(n) = patterns(n−1) + patterns(n−2). Piṅgala hinted at the combinatorics; Virahāṅka stated the recurrence explicitly around 700 CE; Hemachandra discussed it ~1150, just before Fibonacci's famous rabbits.
This is well-established history of mathematics. The fair note is that 'Fibonacci' is a naming accident, not a claim that Europe stole it — independent discovery via a different motivation (prosody vs. rabbit breeding). Still, the Indian priority is real and centuries earlier.