In a previous paper, we derived a theorem which describes, in the language of linear recurrences, the sum of diagonal elements lying along a finite ray of a certain type crossing the 3-dimensional Pascal pyramid. The corresponding generating function was also determined. In this paper, we apply these results to prove several (more precisely 24) recurrence relations previously conjectured, or not given in the On-Line Encyclopedia of Integer Sequences. Moreover, we provide many (exactly 75) new summatory identities linked to sequences listed in the Encyclopedia.