Beyond the four jhānas lie four formless attainments: the base of infinite space, of infinite consciousness, of nothingness, and of neither perception nor non-perception. The Buddha learned the last two from his first teachers before his awakening, and found that they did not bring liberation by themselves.
Formless attainments
Four meditative states beyond form: infinite space, infinite consciousness, nothingness and neither-perception-nor-non-perception.
Also: arupa jhanas, immaterial states