It's called bol[1] in Hindustani music, and koṉṉakkōl[2] in Carnatic music. The basic 4-count syllables are 'na dhin dhin na' in the former, and 'ta ka dhi mi' in the latter.
[1]: https://en.wikipedia.org/wiki/Bol_(music)
[2]: https://en.wikipedia.org/wiki/Konnakol
Both are easily heard and seen performed by live musicians in the archetypal North and South Indian dance forms, Kathak and Bharatanatyam respectively.