The theory of random tensors is expanding rapidly in scope. At the combinatorial (zero dimensional) level the tensorial 1/N expansion has a much more complicated structure than 'tHooft 1/N expansion for matrices, but it is led by a simpler class of graphs, called melonic. Adding time to the picture gives quantum mechanical tensor models which generalize in a promising way the Sachdev-Ye-Kitaev model of near AdS2/CFT1 holographic correspondence. We shall review this fast growing topic.