Stieltjes constants

In mathematics, the Stieltjes constants are the numbers <math>\gamma_k<math> that occur in the Laurent series expansion of the Riemann zeta function:

<math>\zeta(s)=\frac{1}{s-1}+\sum_{n=0}^\infty \frac{(-1)^n}{n!} \gamma_n \; (s-1)^n<math>

The zero'th constant <math>\gamma_0 = \gamma = 0.577...<math> is known as the Euler-Mascheroni constant.