Geodesic
Families of rational numbers with predictable Engel product expansions
Journal of integer sequences, Tome 12 (2009) no. 6
In 1987 Knopfmacher and Knopfmacher published new infinite product expansions for real numbers $0 A 1$ and $A > 1$. They called these expansions Engel product expansions. At that time they had difficulty finding rational $0 A 1$ for which the Engel product expansion is predictable. Later, in 1993, Arnold Knopfmacher presented many such families of rationals. In this paper we add to Arnold Knopfmacher's list of such families.
Classification : 11A67
Keywords: Engel product expansion, Engel expansion 
@article{JIS_2009__12_6_a1,
     author = {Melham,  R.S.},
     title = {Families of rational numbers with predictable {Engel} product expansions},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {6},
     zbl = {1201.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_6_a1/}
}
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Melham,  R.S. Families of rational numbers with predictable Engel product expansions. Journal of integer sequences, Tome 12 (2009) no. 6. http://geodesic.mathdoc.fr/item/JIS_2009__12_6_a1/