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For questions about sequences of integers. References are often made to the online resource oeis.org.

33 votes
0 answers
2k views

The easily bored sequence

If we want to compare the repetitiveness of two finite words, it looks reasonable, first of all, to consider more repetitive the word repeating more times one of its factors, and secondarily to consid …
Alessandro Della Corte's user avatar
7 votes
0 answers
146 views

Factor-counting sequence

Define a non-negative integer sequence $\{\mathcal{F}_n\}$ as follows: start with 1 and, at each step, insert the number of entries already present in the sequence which are factors of the last one. T …
Alessandro Della Corte's user avatar