1,4

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

Marc LeBrun (mlb(AT)well.com), personal communication.

Index entries for sequences related to Egyptian fractions

The 6 solutions for n=4 are 2,3,7,42; 2,3,8,24; 2,3,9,18; 2,3,10,15; 2,4,5,20; 2,4,6,12.

Cf. A002966, A002967.

Cf. A000058.

Adjacent sequences: A006582 A006583 A006584 this_sequence A006586 A006587 A006588

Sequence in context: A009523 A009793 A132878 this_sequence A008562 A041063 A105324

nonn,nice,hard,more

njas

Enumeration confirmed by Jud McCranie (j.mccranie(AT)comcast.net)

a(8) from John Dethridge (jcd(AT)ms.unimelb.edu.au), Jan 08 2004