2 problems

Let $\alpha=(1+\sqrt{5})/2$ be the golden ratio, let $\bf ftm$ be the Fibonacci-Thue-Morse sequence, and let $M_{\bf ftm}(n)$ denote its maximum order complexity at length $n$. Jam…

Let $p$ be any odd prime, let $n$ be a positive integer, and set $N=p^n-1$. Let $\{s_t\}_{t=0}^{N-1}$ be the LSB sequence of a $p$-ary $m$-sequence of order $n$, and let $C_p$ deno…