OFFSET
1,4
COMMENTS
Egyptian fraction for a rational number is to represent the number in sum of some distinct unit fraction, such as 1 = 1/2 + 1/3 + 1/6, here we represent 1 by a three terms Egyptian fraction and the largest denominator is 6. And the representation is non-unique.
There are a total of 3007198863516917545589795267613 Egyptian fractions for 1 whose largest denominator is no more than 256.
LINKS
Jinyuan Wang, Table of n, a(n) for n = 1..114
Eric Weisstein's World of Mathematics, Egyptian Fraction
link for the result [Broken link]
FORMULA
a(n) = 0 for n > 114.
EXAMPLE
a(1)=1 since 1 = 1/1.
a(2)=0 since the sum of any two distinct unit fractions are not 1.
a(3)=1 since the only three terms Egyptian fraction for 1 is 1/2 + 1/3 + 1/6.
CROSSREFS
KEYWORD
nonn,fini
AUTHOR
Zhao Hui Du, Sep 09 2008
STATUS
approved