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

Kitaev, Sergey (2004) The sigma-sequence and counting occurrences of some patterns, subsequences and subwords. Australasian Journal of Combinatorics, 29. pp. 187-200. ISSN 1034-4942 (http://ajc.maths.uq.edu.au/pdf/29/ajc_v29_p187.pdf)

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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.