A030659 Smallest possible maximum denominator in an expression for 1 as a sum of n distinct unit (Egyptian) fractions.

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

Tatsuru Watanabe, Table of n, a(n) for n = 3..147

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.

David Eppstein, Unit Fractions, smallest last term

Index entries for sequences related to Egyptian fractions

Crossrefs

Cf. A213062. - Alois P. Heinz, Sep 21 2012

Sequence in context: A281352 A351843 A135763 * A142338 A114304 A175952

Adjacent sequences: A030656 A030657 A030658 * A030660 A030661 A030662

Keyword

nonn,hard

Author

Dan Hoey

Extensions

More terms from Jon E. Schoenfield, Mar 24 2014

Status

approved