On palindromic sequences from irrational numbers (Q2721675)

Given an irrational number \(\alpha\), let \(\Delta_n=\lfloor n\alpha\rfloor-\lfloor(n-1)\alpha\rfloor\). The author describes all the palindromes of the form \(\Delta_m,\Delta_{m+1},\dots,\Delta_l\), \(m<l\), for \(m=0,1\) and \(2\). Further he describes a technique for how to find the palindromes with \(m\geq 3\) and \(l=q-m+1\) with \(q\neq q_{n,r}\), the denominator of an \(n\)th intermediate convergent.