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A030659
Smallest possible maximum denominator in an expression for 1 as a sum of n distinct unit (Egyptian) fractions.
5
6, 12, 15, 15, 18, 20, 24, 24, 28, 30, 33, 33, 35, 36, 40, 42, 48, 52, 52, 54, 55, 55, 56, 60, 63, 72, 75, 75, 76, 76, 77, 78, 80, 85, 85, 88, 90, 95, 96, 96, 100, 102, 104, 104, 108, 110, 114, 115, 115, 119, 119, 120, 126, 130, 132, 135, 138, 143, 144, 144
OFFSET
3,1
REFERENCES
R. K. Guy (1981): Unsolved Problems In Number Theory, D11, also p. 161.
LINKS
Mohammad K. Azarian, Sylvester's Sequence and the Infinite Egyptian Fraction Decomposition of 1, Problem 958, College Mathematics Journal, Vol. 42, No. 4, September 2011, p. 330. Solution published in Vol. 43, No. 4, September 2012, pp. 340-342.
CROSSREFS
Cf. A213062. - Alois P. Heinz, Sep 21 2012
Sequence in context: A281352 A351843 A135763 * A142338 A114304 A175952
KEYWORD
nonn,hard
AUTHOR
EXTENSIONS
More terms from Jon E. Schoenfield, Mar 24 2014
STATUS
approved