Families of rational numbers with predictable Engle product expansions

University of Waterloo, Ontario, Canada
Publication Type:
Journal Article
Journal of Integer Sequences, 2009, 12 pp. 1 - 7
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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.
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