Altug Alkan

collaborators

3 papers

math.DS2022

A Note on the Control of Mortality for Nested Recurrence Relation $H (n) = H (n - H (n - 2)) + H (n - H (n - 3))$

Altug Alkan, Orhan Ozgur Aybar, Zehra Akdeniz

In this work, we investigate $H$ -recurrence which is defined by $H (n) = H (n - H (n - 2)) + H (n - H (n - 3))$ thanks to a recent approach to certain recurrences such as Conway and Hofstadter…

math.NT2020

On a recursively defined sequence involving the prime counting function

Altug Alkan, Andrew R. Booker, Florian Luca

We prove some properties of the sequence ${a_{n}}_{n \geq 1}$ defined by $a_{n} = π (n) - π (\sum_{k = 1}^{n - 1} a_{k}) .$

math.DS2020

On Some Solutions to Hofstadter's $V$ -Recurrence

Altug Alkan, Nathan Fox, Orhan Ozgur Aybar +1

In this study, we explore the properties of certain solutions of Hofstadter's famous $V$ -recurrence, defined by the nested recurrence relation $V (n) = V (n - V (n - 1)) + V (n - V (n - 4))$ . First…

A Note on the Control of Mortality for Nested Recurrence Relation H(n)=H(n−H(n−2))+H(n−H(n−3))

On a recursively defined sequence involving the prime counting function

On Some Solutions to Hofstadter's V-Recurrence

A Note on the Control of Mortality for Nested Recurrence Relation $H (n) = H (n - H (n - 2)) + H (n - H (n - 3))$

On Some Solutions to Hofstadter's $V$ -Recurrence