I am looking for Euler's article E19, namely
E19 De progressionibus transcendentibus, seu quarum termini generales algebraice dari nequeunt. Auct. L. Eulero. The terms of the sequence given by ux = 1·2·3 … x, and related sequences, are expressed with gamma- and betaintegrals. Commentarii academiae scientiarum Petropolitanae 5, (1730/1), 1738, p. 36-57. According to the records, it was presented to the St. Petersburg Academy on November 28, 1729. Euler gave the essential content of this treatise to his friend Goldbach in a letter on January 8, 1730. (P.H. Fuss, Correspondance mathématique et physique de quelques célèbres géomètres du XVIIIème siècle, St. Petersburg, 1843, I, p. 11-18)1. Reviewed in Nova acta erud. 1740, p. 306 - 307. Reprinted in Comment. acad. sc. Petrop. 5, ed. nova, Bononiae 1744, p. 28-47 [E19a].
Does anyone know how to access this sort of thing?
The Euler Archive is a great tool for anything related to Euler. The first Google result gives this source with a PDF of the original text.