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We study the effects of the non-attractor initial conditions for thecanonical single-field inflation. The non-attractor stage can last only several$e$-folding numbers, and should be followed by hilltop inflation. Thistwo-stage evolution leads to large scale suppression in the primordial powerspectrum, which is favored by recent observations. Moreover we give a detailedcalculation of primordial non-Guassianity due to the "from non-attractor toslow-roll" transition, and find step features in the local and equilateralshapes. We conclude that a plateau-like inflaton potential with an initialnon-attractor phase yields interesting features in both power spectrum andbispectrum.

Features from the non-attractor beginning of inflation