Köchel catalogue Horn Concerto No. 1, K. (412+514)/386b. In the decades after Mozart's death there were several attempts to catalogue his compositions, for example by Franz Gleißner and Johann Anton André (published in 1833), but it was not until 1862 that Ludwig von Köchel succeeded in producing a comprehensive listing. Köchel's 551-page catalogue was titled "Chronologisch-thematisches Verzeichnis sämmtlicher Tonwerke W. A. Mozarts" ("Chronological-thematic Catalogue of the Complete Musical Works of W. A. Mozart"). Köchel attempted to arrange the works in chronological order, but many compositions written before 1784 could only be estimated, although Leopold Mozart had compiled a partial list of his
Stirling numbers of the first kind Stirling numbers of the first kind In mathematics, especially in combinatorics, Stirling numbers of the first kind arise in the study of permutations. In particular, the Stirling numbers of the first kind count permutations according to their number of cycles (counting fixed points as cycles of length one). The original definition of Stirling numbers of the first kind was algebraic. These numbers, usually written "s"("n", "k"), are signed integers whose sign, positive or negative, depends on the parity of "n" − "k". Afterwards, the absolute values of these numbers, |"s"("n", "k")|, which are known as unsigned Stirling numbers of the