>
> are consistent with the definitions from the previous link. For instance, 
> I have the feeling that I don't understand l.g.f. (logarithmic generating 
> function) exactly the same way as some contributors in the OEIS 
>

The definitive guide for these definitions is Bruno Salvy's gefun package.
http://perso.ens-lyon.fr/bruno.salvy/software/the-gfun-package/

A similar approach is this SageMath toolbox:
http://oeis.org/wiki/User:Peter_Luschny/GeneratingFunctions
See also the links at the bottom of this page.

Peter
 

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