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A097049 a(n) = least numerator X of the proper fractions X/A097048(n) which need n or more terms as an Egyptian fraction. +0
2
1, 2, 4, 8, 16, 77, 732 (list; graph; listen)
OFFSET

1,2

COMMENT

These are the simplest proper fractions requiring n parts as an Egyptian fraction, where "simplest" means smallest denominator and the smallest numerator breaks ties: 1/2 2/3 4/5 8/11 16/17 77/79 732/733 ...

REFERENCES

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

LINKS

David Eppstein, Ten Algorithms for Egyptian Fractions

CROSSREFS

See A097048 for denominators.

Sequence in context: A051300 A001127 A051299 this_sequence A119490 A013174 A098204

Adjacent sequences: A097046 A097047 A097048 this_sequence A097050 A097051 A097052

KEYWORD

nonn,more,frac

AUTHOR

Ed Pegg Jr. (edp(AT)wolfram.com) and Don Reble (djr(AT)nk.ca) Jul 21 2004

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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