What is the name of the sequence shown in the picture?
Correct answer: Fibonacci sequence

jsh
I could hardly see the numbers.

Sunny
Pingala:
As early as 200 B.C.E., Pingala, in his work "Chandaḥśāstra" (a treatise on Sanskrit prosody), explored patterns of long and short syllables in poetry. This exploration led to patterns that correspond to the Fibonacci sequence.
Specifically, he studied the number of ways to form patterns of syllables of given lengths, which produced the Fibonacci numbers.
Virahanka:
Later, around the 7th century C.E., the mathematician Virahanka also studied these number patterns.
The sequence is sometimes referred to as the "Fibonacci-Virahanka" numbers, acknowledging this Indian contribution.
Sanskrit Prosody:
The context of Sanskrit prosody (the study of poetic meters) is crucial. The Fibonacci numbers arise when counting the possible patterns of combining syllables of different durations.
Therefore, while Leonardo Fibonacci introduced the sequence to Western European mathematics, the sequence's origins can be traced back to the earlier work of Indian mathematicians like Pingala and Virahanka.

Cudley Dudley
if you are fascinated by maths and mathematicians I suggest you read the book The man who loved only Numbers. it's about the life of a Hungarian called Paul Erdos also lots on wiki about him. a true eccentric .

Frog
jsh, I didn't see them until you nentiobed them