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math.CO2026
Systematic Enumeration of Fundamental Quantities Involving Runs in Binary Strings
Félix Balado, Guénolé C. M. Silvestre
We give recurrences, generating functions and explicit exact expressions for the enumeration of fundamental quantities involving runs in binary strings. We first focus on enumerati…
math.CO2023
Runs of Ones in Binary Strings
Félix Balado, Guénolé C. M. Silvestre
We give three different computations of the total number of runs of length in binary -strings, and we discuss the connection of this problem with the compositions of .