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Perception, prediction and generation of sequences is a fundamental aspect of human behavior and depends on the ability to detect serial order. This paper presents a plausible model of sequential memory at the neurological level based on the theory of cell assemblies. The basic idea is that sequences in the brain are represented by cell assemblies. Each item of the sequence and the sequential association between the items are represented by cell assemblies. Simulation results show that the model is capable of recognizing and discriminating multiple sequences stored in memory. The cell assemblies that represent the sequential association between two items are activated if these items occur in the input in the correct order. These sequence detecting cell assemblies form the basis of this model. A simulation presenting 100 stored sequences and 100 not stored recognizes perfectly 90% of the time with no false positives.