Record-Setters in the Stern Sequence

Ali Keramatipour, Jeffrey Shallit

Stern's diatomic series, denoted by $(a(n){)}_{n\ge 0}$, is defined by the recurrence relations $a(2n)=a(n)$ and $a(2n+1)=a(n)+a(n+1)$ for $n\ge 1$, and initial values…