User marc lebrun - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T06:33:51Z http://mathoverflow.net/feeds/user/23530 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/27896/diophantine-equation-egyptian-fraction-representations-of-1/96302#96302 Answer by Marc LeBrun for Diophantine equation: Egyptian fraction representations of 1 Marc LeBrun 2012-05-08T06:55:14Z 2012-05-08T06:55:14Z <p>A related interesting problem is the number of partitions of 1 into n distinct positive Egyptian fractions, the first few terms of which are given in A006585.</p> <p>These values were counted laboriously by brute force in the early 1990's, and although they have been reconfirmed (by Jud McCranie) the sequence has only been extended one further term (by John Dethridge) in 2004.</p> <p>Additional terms, cleverer algorithms and/or a generating function, would be most welcome!</p>