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We review the concept of the number wall as an alternative to the traditionallinear complexity profile (LCP), and sketch the relationship to other topicssuch as linear feedback shift-register (LFSR) and context-free Lindenmayer(D0L) sequences. A remarkable ternary analogue of the Thue-Morse sequence isintroduced having deficiency 2 modulo 3, and this property verified via there-interpretation of the number wall as an aperiodic plane tiling.

The Pagoda Sequence: a Ramble through Linear Complexity, Number Walls, D0L Sequences, Finite State Automata, and Aperiodic Tilings