what is the limit :
$\lim_{n>\infty} \frac{\gamma_{n1}}{\gamma_{n}}$
$\gamma_{n}$ being the nth Stieltjes Constant
what is the limit : $\lim_{n>\infty} \frac{\gamma_{n1}}{\gamma_{n}}$ $\gamma_{n}$ being the nth Stieltjes Constant 


An asymptotic formula for $\gamma_n$ is given here: http://www.ams.org/journals/mcom/201180273/S002557182010023907/S002557182010023907.pdf From that formula, it is perhaps possible to find at least some estimates for the limit you ask about. 

