On integers $n$ for which $\ddot{I}ƒ(2n+1)\ge \ddot{I}ƒ(2n)$

Abstract

We show that the natural density of positive integers $n$ for which $\ddot{I}ƒ(2n+1)\ge \ddot{I}ƒ(2n)$ is between $0.053$ and $0.055$.