Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages

Breeanne Baker Swart, Susan Crook, Helen G. Grundman +3

An augmented generalized happy function $S_{[c,b]}$ maps a positive integer to the sum of the squares of its base $b$ digits plus $c$. For $b\ge 2$ and $k\in {\mathbb{Z}}^{+}$, a $k$…