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A144063 Counting number of Egyptian fraction for 1 when the number of terms is given and the largest denominator is no more than 256. 0
1, 0, 1, 6, 62, 642, 5623, 47126, 368680, 2715613, 18876751, 124137535, 774232619, 4595291801, 26030660449, 141031079451, 731862267491, 3641135367129, 17379359388167, 79633646141291 (list; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Egyptian Fraction

link for the result [Broken link]

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 and the last nonzero term is a(114)=4, there are a total of 3007198863516917545589795267612 Egyptian fraction for 1 whose largest denominator is no more than 256.

CROSSREFS

Sequence in context: A243643 A200803 A198965 * A186670 A190726 A121251

Adjacent sequences:  A144060 A144061 A144062 * A144064 A144065 A144066

KEYWORD

nonn,uned

AUTHOR

Zhao Hui Du, Sep 09 2008

STATUS

approved

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Last modified July 19 22:14 EDT 2019. Contains 325168 sequences. (Running on oeis4.)