Effective method of computing Li's coefficients and their properties
  In this paper we present an effective method for computing certain real coefficients $\lambda_{n}$ which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of over three-thousand $\lambda_{n}$'s has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing \textit{trend} and some tiny \textit{oscillations} superimposed on this trend. 
Krzysztof Maslanka