Which Integers are Representable as the Product of the Sum of Three Integers with the Sum of their Reciprocals?

Andrew Bremner, Richard K. Guy, Richard J. Nowakowski
1993 Mathematics of Computation  
In memory of Dick Lehmer, with thanks for the Western Number Theory conferences, and for launching at least one of us on a career in number theory. Abstract. For example, the integer 564 is so representable by the three integers 122 44200 50100028778116351171 17995213613513491867, -3460 69586 84255 04865 64589 22621 88752 08971 30654 24460 and 748071910153025 27837 945836017146464 94820 59055 28060.
doi:10.2307/2152940 fatcat:l63pyg4vfzh2biyb2gzssywv5u