Abstract :
A power-sequence terrace for Zn is defined to be a terrace which can be partitioned into segments one of which contains merely the zero element of Zn, whilst each other segment is either (a) a sequence of successive powers of an element of Zn, or (b) such a sequence multiplied throughout by a constant. Many elegant families of such Zn terraces are constructed for values of n that are odd prime powers. The discovery of these families greatly increases the number of known constructions for terraces for Zn. Tables are provided to show clearly the constructions available for each prime power n satisfying n<300.
Keywords :
Narcissistic terraces , Primitive roots , Owens terrace , Segregated terraces , Sophie Germain primes , Tripartite terraces , Triangular-numbers terraces , Echoing terraces , Half-and-half terraces , Lucas–Walecki–Williams terrace , Reflective 2-sequencings
