Page "Euler–Maclaurin formula" Paragraph 20

This presentation also emphasizes the notation of the two kinds of Bernoulli numbers, called the first and the second kind, which are of equal legitimacy, and in principle not to favor of each other.

Here we denote with the Bernoulli number of the second kind ( only because the historical reason of formation of this article ) which differ from the first kind only for the index 1.