2 problems

Let $a_r$ be the order-$r$ almost Golomb sequence, defined by the sliding-window greedy recurrence in the source, and let $G$ denote Golomb's sequence. Prefix Conjecture. For all…

Let $a_r$ be the order-$r$ almost Golomb sequence, let $N_r(n)$ denote the multiplicity of the value $n$, and define $M(r)=\sup_n N_r(n)$. Domination Lemma. For all $r\ge 5$, … Tog…