The
Kolakoswky sequence is a fascinating mathematical sequence defined by a simple rule: it describes itself in terms of runs of numbers. Starting with 1, the sequence is formed by reading off the lengths of consecutive runs of 1s and 2s in the sequence itself. For example, it begins as 1, 2, 2, 1, 1, 2, 1, 2, 2, 1... This self-describing pattern makes the Kolakoswky sequence an interesting subject in the study of combinatorics and sequence theory, showcasing how complex structures can emerge from simple, recursive rules.
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