Symphony, K. 45b (Mozart) even earlier dates to also be possible, and Zaslaw dated the symphony cautiously to Salzburg in 1767. Einstein also believed that the symphonies in the catalogue of Breitkopf & Härtel were sent by Leopold Mozart to be published. The Alte Mozart-Ausgabe (published 1879–1882) gives the numbering sequence 1–41 for the 41 numbered symphonies. The unnumbered symphonies (some, including K. 45b, published in supplements to the Alte-Mozart Ausgabe until 1910) are sometimes given numbers in the range 42 to 56, even though they were written earlier than Mozart's Symphony No. 41 (written in 1788). The symphony K. 45b is given the
Large numbers If we need many such functions we can better number them instead of using a new letter every time, e.g. as a subscript, so we get numbers of the form formula_81 where "k" and "m" are given exactly and n is an integer which may or may not be given exactly. Using "k"=1 for the "f" above, "k"=2 for "g", etc., we have (10→10→"n"→"k") = formula_82. If "n" is large we can use any of the above for expressing it. Thus we get a nesting of forms formula_83 where going inward the "k" decreases, and with as inner argument a