I have read that for the Landau function $g(n)$ (http://mathworld.wolfram.com/LandausFunction.html), one knows that

$\lim_{n \rightarrow \infty} g(n+1)/g(n) = 1$

I wonder whether someone has derived an explicit constant bound in the sense that

$g(n+1) \leq C g(n)$ for $n \geq N$

where $C$ and $N$ can be given explicitly (and $N$ is "small").

I have read that for the Landau function $g(n)$ (http://mathworld.wolfram.com/LandausFunction.html), one knows that

$\lim_{n \rightarrow \infty} g(n+1)/g(n) = 1$

(stated, but not proved in "On Landau's function $g(n)$" of Jean-Louis Nicolas. I tried to find it in the French source that he gave, but it is rather long and my French is rather non-existing.)

I wonder whether someone has derived an explicit constant bound in the sense that

$g(n+1) \leq C g(n)$ for $n \geq N$

where $C$ and $N$ can be given explicitly (and $N$ is "small").