I found about Adamchik's integral in wikipedia while working in a random walks problem. https://en.wikipedia.org/wiki/Omega_constant. However, it does not show the citation. I search in google and it appears to be everywhere in the internet, however no one show the citation, even in pages in which they show how to solve it: https://math.stackexchange.com/questions/45745/interesting-integral-related-to-the-omega-constant-lambert-w-function.
Somebody knows the original paper?