Subblock Occurrences in the q-Ary Representation of n

DOI10.1137/0604025zbMath0517.05004OpenAlexW2047286939MaRDI QIDQ3665106

Peter Kirschenhofer

Publication date: 1983

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0604025

zbMATH Keywords

sum of digits functionstringnumber of subblocksq-ary representation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic functions; related numbers; inversion formulas (11A25) Radix representation; digital problems (11A63)

Related Items (10)

Non-repetitive sequences and Gray code ⋮ Linear relations between pattern sequences in a \(\langle q, r\rangle\)-numeration system ⋮ Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions ⋮ On \(q\)-quasiadditive and \(q\)-quasimultiplicative functions ⋮ Subblock Occurrences in Positional Number Systems and Gray code Representation ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence ⋮ A probability measure which has Markov property ⋮ Output sum of transducers: limiting distribution and periodic fluctuation ⋮ Mellin transforms and asymptotics: Digital sums ⋮ On the distribution of digits in Cantor representations of integers

Cites Work

• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• A Note on Gray Code and Odd-Even Merge
• Generalizing the Sum of Digits Function

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