It's used to be common for universities to do this, mine still does:

  ic.ac.uk.		45665	IN	NS	ns1.ic.ac.uk.
  ic.ac.uk.		45665	IN	NS	ns2.ic.ac.uk.
  ic.ac.uk.		45665	IN	NS	ns0.ic.ac.uk.
  ic.ac.uk.		45665	IN	NS	authdns1.csx.cam.ac.uk.

(and Cambridge use Imperial College as a secondary) but the best-known American universities are on cloud providers now.