The sigma-sequence and counting occurrences of some patterns, subsequences and subwords

Abstract

We consider sigma-words, which are words used by Evdokimov in the construction of the sigma-sequence. We then find the number of occurrences of certain patterns and subwords in these words.

10 pages

References in corpus (2)

• There are no iterated morphisms that define the Arshon sequence and the $\sigma$-sequence
• Counting the occurrences of generalized patterns in words generated by a morphism