Sequences of generalized happy numbers with small bases
J. Integer Seq. 10(1), Article 07.1.8, 6 p., electronic only (2007)
Summary
Summary: For bases $b \le 5$ and exponents $e \ge 2$, there exist arbitrarily long finite sequences of $d$-consecutive $e$-power $b$-happy numbers for a specific $d = d(e,b)$, which is shown to be minimal possible.