Is $a_n = (-1)^{[ \log n]}$ is oscillatory sequence? I know that $a_n =(-1)^n$ is oscillatory sequence as sequence osciallate between $-1$ and $+1 $ I have some doubt in my mind that Is $a_n = (-1)^{[ \log n]}$ is os...--prophetes.ai

Is $a_n = (-1)^{[ \log n]}$ is oscillatory sequence? I know that $a_n =(-1)^n$ is oscillatory sequence as sequence osciallate between $-1$ and $+1 $ I have some doubt in my mind that Is $a_n = (-1)^{[ \log n]}$ is oscillatory sequence ? Note: [] is "greatest integer less than or equal symbol

$a_n=1$ if $e^{2k} \leq n