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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 recurrencessuch as Conway and Hofstadter $Q$ recursions.

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