Geodesic
The Theory of Compositions (I): the Ordered Factorizations of n and a Conjecture of C. Long
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 479-484

Voir la notice de l'article provenant de la source Cambridge University Press

Several years ago, C. Long wrote two papers ([3], [4]) that related to F(n) the number of ordered factorizations of n. The second of these papers [4] was devoted entirely to a discussion of conjectured formula for F(n). 
Andrews, George E. The Theory of Compositions (I): the Ordered Factorizations of n and a Conjecture of C. Long. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 479-484. doi: 10.4153/CMB-1975-087-0
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[1] 1. Goldman, J. and Rota, G. C., The number of subspaces of a vector space, in Recent Progress in Combinatories edited by W. Tutte, Academic Press, New York, 1969, pp. 75–83. Google Scholar

[2] 2. Landau, E., Elementary Number Theory, Chelsea, New York, 1958. Google Scholar

[3] 3. Long, C., Addition Theorems for sets of integers, Pacific J. Math., 23 (1967), 107–112. Google Scholar

[4] 4. Long, C., On a problem in partial difference equations, Can. Math. Bull., 13 (1970), 333–335. Google Scholar

[5] 5. MacMahon, P. A., Combinatory Analysis, Vol. 1, Cambridge University Press, Cambridge 1915 (Reprinted: Chelsea, New York, 1960). Google Scholar

[6] 6. Riordan, J., An Introduction to Combinatorial Analysis, John Wiley and Sons, New York, 1958. Google Scholar

[7] 7. Rota, G. C., The number of partitions of a set, Amer. Math. Monthly, 71 (1964), 498–504. Google Scholar

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