This paper introduces a powerful novel sequencer for controlling computational machines and for structured DMA (direct memory access) applications. It is mainly focused on applications using 2-dimensional memory organization, where most inherent speed-up is obtained thereof. A classification scheme of computational sequencing patterns and storage schemes is derived. In the context of application specific computing the paper illustrates its usefulness especially for data sequencing - recalling examples hereafter published earlier, as far as needed for completeness. The paper also discusses, how the new sequencer hardware provides substantial speed-up compared to traditional sequencing hardware use.