
Enumeration Schemes in Patterns Occurrences in Aunu Permutations
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We find generating functions for the number of strings (words) containing a specified number of occurrences of certain types of order-isomorphic classes of substrings called Aunu patterns. In particular, we find generating functions for the number of strings containing a specified number of occurrences of a given 3-letter subword pattern. We say that permutation is an Aunu permutation if its first element is one and its length is a prime number.