Current methods for sequence prediction often fail to account for higher-ordercontinuity. This results in the prediction of sequences that might be continuous but not physically viable as I investigate higher-order smoothness in terms of velocity and acceleration. Hence, I propose a Yuksel Spline-based model that is not only capable of predicting curves that are guaranteed to be C^2 continuous but, also efficient to compute as well. Characteristic properties of the models are demonstrated over toy examples and sequence prediction tasks.