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Search: id:A006585
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| A006585 |
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Egyptian fractions: number of solutions to 1 = 1/x_1 +...+ 1/x_n with x_1<...<x_n.
(Formerly M4281)
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+0
5
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OFFSET
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1,4
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COMMENT
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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 (maxale(AT)gmail.com), Dec 30 2003
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REFERENCES
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Marc LeBrun (mlb(AT)well.com), personal communication.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Index entries for sequences related to Egyptian fractions
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EXAMPLE
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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.
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CROSSREFS
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Cf. A002966, A002967.
Cf. A000058.
Sequence in context: A009523 A009793 A132878 this_sequence A166472 A008562 A041063
Adjacent sequences: A006582 A006583 A006584 this_sequence A006586 A006587 A006588
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KEYWORD
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nonn,nice,hard,more
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Enumeration confirmed by Jud McCranie (j.mccranie(AT)comcast.net)
a(8) from John Dethridge (jcd(AT)ms.unimelb.edu.au), Jan 08 2004
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