More About the Function “fusc” (A Sequel to EWD570)

Abstract

In EWD570 I introduced the function “fusc”, given by

$$\begin{array}{*{20}{c}} {fusc\left( 1 \right) = 1,fusc\left( {2n} \right) = fusc\left( n \right),} \hfill \\ {fusc\left( {2n + 1} \right) = fusc\left( n \right) + fusc\left( {n + 1} \right) .} \hfill \\ \end{array} $$