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

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 $Q$ recursions.