1,3

All denominators in the expansion 1 = 1/x_1 + ... 1/x_n are bounded by the n-th term of Sylvester's sequence: 0<x_1<=...<=x_n < A000058(n) - Max Alekseyev (maxal(AT)cs.ucsd.edu), Dec 30 2003

R. K. Guy, Unsolved Problems in Number Theory, D11.

D. Singmaster, ``The number of representations of one as a sum of unit fractions,'' unpublished manuscript, 1972.

Jacques Le Normand, C code for a(8) [Broken link]

Jacques Le Normand, C code for a(8) [Cached copy]

Index entries for sequences related to Egyptian fractions

For n=3 the 3 solutions are {2,3,6}, {2,4,4}, {3,3,3}.

For n=4 the solutions are: {2,3,7,42}, {2,3,8,24}, {2,3,9,18}, {2,3,10,15}, {2,3,12,12}, {2,4,5,20}, {2,4,6,12}, {2,4,8,8}, {2,5,5,10}, {2,6,6,6}, {3,3,4,12}, {3,3,6,6}, {3,4,4,6}, {4,4,4,4} (from Neven Juric, May 14 2008)

Cf. A002967, A006585, A000058.

Adjacent sequences: A002963 A002964 A002965 this_sequence A002967 A002968 A002969

Sequence in context: A096657 A126933 A073550 this_sequence A075654 A090897 A120459

nonn,nice,more

njas, Robert G. Wilson v (rgwv(AT)rgwv.com)

a(7) from Jud McCranie, j.mccranie(AT)comcast.net, Nov 15, 1999. Confirmed by Marc Paulhus (paulhus(AT)wanadoo.nl).

a(8) from John Dethridge (jcd(AT)ms.unimelb.edu.au) and Jacques Le Normand (jacqueslen(ATA)sympatico.ca), Jan 06 2004.