Solution of a curious question which does not seem to have been subjected to any analysis
This paper, although presented in 1759, did not appear in print until 1766. The first review of it, describing the first two knight's tours, appeared in the Journal Encyclopédique in 1767.
This is one of Euler's more famous papers and a good example of his work in an area usually called "recreational mathematics" today. It was the first mathematical paper on knight's tours (a path that a knight chesspiece can follow to visit every square on the chessboard without revisitng any sqaure).
Original Source Citation
Mémoires de l'académie des sciences de Berlin, Volume 15, pp. 310-337.
Opera Omnia Citation
Series 1, Volume 7, pp.26-56.