The Hofstadter consecutive-sum sequence omits infinitely many positive integers
Fuente:
arXiv
Saved in:
| Main Author: | Tang, Quanyu |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Zeros and $S$-units in sums of terms of recurrence sequences in function fields
by: N, Darsana, et al.
Published: (2024)
by: N, Darsana, et al.
Published: (2024)
Dyadic Frequency Laws, Clock Dynamics, and Defect Scaling in a Perturbed Hofstadter $Q$-Recursion
by: Mantovanelli, Marco
Published: (2026)
by: Mantovanelli, Marco
Published: (2026)
The smallest denominator not contained in a unit fraction decomposition of $1$ with fixed length
by: van Doorn, Wouter, et al.
Published: (2025)
by: van Doorn, Wouter, et al.
Published: (2025)
On the minimal length of addition chains
by: De Koninck, Jean-Marie, et al.
Published: (2025)
by: De Koninck, Jean-Marie, et al.
Published: (2025)
On a Diophantine Equation Involving Lucas Numbers
by: Ibrahimov, Seyran S., et al.
Published: (2025)
by: Ibrahimov, Seyran S., et al.
Published: (2025)
A Balanced Three-term Generalization of Nicomachus' Identity
by: Kim, Seon-Hong, et al.
Published: (2025)
by: Kim, Seon-Hong, et al.
Published: (2025)
Polynomials and algebraic curves related to certain binary and $b$-ary overpartitions
by: Dilcher, Karl, et al.
Published: (2024)
by: Dilcher, Karl, et al.
Published: (2024)
Valuation Separation for Coprime Lucas Products
by: Kym, Dongyeon
Published: (2026)
by: Kym, Dongyeon
Published: (2026)
Harmonic LCM patterns and sunflower-free capacity
by: Tang, Quanyu, et al.
Published: (2025)
by: Tang, Quanyu, et al.
Published: (2025)
An alternating sum of the floor function of square roots
by: Chamberland, Marc, et al.
Published: (2025)
by: Chamberland, Marc, et al.
Published: (2025)
Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series
by: Alekseyev, Max A., et al.
Published: (2025)
by: Alekseyev, Max A., et al.
Published: (2025)
Deterministic Structures in the Stopping Time Dynamics of the 3x+1 Problem
by: Winkler, Mike
Published: (2017)
by: Winkler, Mike
Published: (2017)
A refinement of a result of Andrews and Newman on the sum of minimal excludants
by: Baruah, Nayandeep Deka, et al.
Published: (2021)
by: Baruah, Nayandeep Deka, et al.
Published: (2021)
Balancing and Lucas-balancing numbers as difference of two repdigits
by: Mohapatra, Monalisa, et al.
Published: (2024)
by: Mohapatra, Monalisa, et al.
Published: (2024)
Solving Skolem problem for negative indexed $k-$generalized Pell numbers
by: Mohapatra, Monalisa, et al.
Published: (2025)
by: Mohapatra, Monalisa, et al.
Published: (2025)
On the size of finite Sidon sets
by: O'Bryant, Kevin
Published: (2022)
by: O'Bryant, Kevin
Published: (2022)
Finding large additive and multiplicative Sidon sets in sets of integers
by: Jing, Yifan, et al.
Published: (2022)
by: Jing, Yifan, et al.
Published: (2022)
Power Products in Elliptic Divisibility Sequences and Prime-Incidence Obstructions
by: Kym, Dongyeon
Published: (2026)
by: Kym, Dongyeon
Published: (2026)
Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
by: Tóth, László
Published: (2024)
by: Tóth, László
Published: (2024)
Binomial sums and properties of the Bernoulli transform
by: Elkhiri, Laid, et al.
Published: (2026)
by: Elkhiri, Laid, et al.
Published: (2026)
On the Chevalley-Bass number of a field
by: Gillibert, Jean, et al.
Published: (2026)
by: Gillibert, Jean, et al.
Published: (2026)
Finite sequences of integers expressible as sums of two squares
by: Choudhry, Ajai, et al.
Published: (2023)
by: Choudhry, Ajai, et al.
Published: (2023)
Arithmetic properties of MacMahon-type sums of divisors
by: Sellers, James A., et al.
Published: (2024)
by: Sellers, James A., et al.
Published: (2024)
An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
by: Qi, Feng
Published: (2014)
by: Qi, Feng
Published: (2014)
Generalized Euler numbers and ordered set partitions
by: Sagan, Bruce E.
Published: (2025)
by: Sagan, Bruce E.
Published: (2025)
On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
by: Choudhuri, Manoj, et al.
Published: (2024)
by: Choudhuri, Manoj, et al.
Published: (2024)
On solutions of $\sum_{i=1}^n 1/x_i = 1$ in integers of the form $2^a k^b$
by: Louwsma, Joel
Published: (2024)
by: Louwsma, Joel
Published: (2024)
Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond
by: Alexeev, Boris, et al.
Published: (2026)
by: Alexeev, Boris, et al.
Published: (2026)
Inhomogeneous Diophantine Approximation on $M_0$-sets
by: Pavlenkov, Volodymyr, et al.
Published: (2024)
by: Pavlenkov, Volodymyr, et al.
Published: (2024)
Ratios of two powers of van der Laan-Padovan numbers
by: Yamada, Tomohiro
Published: (2025)
by: Yamada, Tomohiro
Published: (2025)
On Heights and Diameters of Ternary Cyclotomic and Inclusion-Exclusion Polynomials
by: Bachman, Gennady
Published: (2026)
by: Bachman, Gennady
Published: (2026)
More on consecutive multiplicatively dependent triples of integers
by: Bennett, Michael A., et al.
Published: (2024)
by: Bennett, Michael A., et al.
Published: (2024)
On a nonlinear Diophantine equation with powers of three consecutive $k$--Lucas Numbers
by: Batte, Herbert, et al.
Published: (2024)
by: Batte, Herbert, et al.
Published: (2024)
Identities between polynomials related to Stirling and harmonic numbers
by: Kellner, Bernd C.
Published: (2012)
by: Kellner, Bernd C.
Published: (2012)
Asymptotic Fermat's Last Theorem for a family of equations of signature $(2, 2n, n)$
by: García, Pedro-José Cazorla
Published: (2024)
by: García, Pedro-José Cazorla
Published: (2024)
On the Number of Regular Integers Modulo $n$ and Its Significance for Cryptography
by: Dohmen, Klaus, et al.
Published: (2023)
by: Dohmen, Klaus, et al.
Published: (2023)
A Note on the Number of Representations of $n$ as a Sum of Generalized Polygonal Numbers
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
Arithmetic Identities for Some Analogs of $5$-core Partition Function
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
The $n$-Color Partition Function and Some Counting Theorems
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
by: Bandyopadhyay, Subhajit, et al.
Published: (2024)
On a conjecture of Erdős and Graham about the Sylvester's sequence
by: Li, Zheng, et al.
Published: (2025)
by: Li, Zheng, et al.
Published: (2025)
Similar Items
-
Zeros and $S$-units in sums of terms of recurrence sequences in function fields
by: N, Darsana, et al.
Published: (2024) -
Dyadic Frequency Laws, Clock Dynamics, and Defect Scaling in a Perturbed Hofstadter $Q$-Recursion
by: Mantovanelli, Marco
Published: (2026) -
The smallest denominator not contained in a unit fraction decomposition of $1$ with fixed length
by: van Doorn, Wouter, et al.
Published: (2025) -
On the minimal length of addition chains
by: De Koninck, Jean-Marie, et al.
Published: (2025) -
On a Diophantine Equation Involving Lucas Numbers
by: Ibrahimov, Seyran S., et al.
Published: (2025)