Finite generating functions for the sum of digits sequence
classification
🧮 math.NT
keywords
digitsfinitefunctionssequencesomealloucheallowbase
read the original abstract
We derive some new finite sums involving the sequence $s_{2}\left(n\right),$ the sum of digits of the expansion of $n$ in base $2.$ These functions allow us to generalize some classical results obtained by Allouche, Shallit and others.
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