sum of unit fractions

Paul D. Hanna pauldhanna at
Thu Dec 9 05:03:14 CET 2004

Sorry, had a transcription error in my last email. 
All sets of unit fractions adding to unity given were correct 
except the simplest sets for cases n=2, 3: 
> {2,3,4,6}
> {5,8,9,10,15,18,20,24}
which of course should have been: 
This correction makes the sequences mentioned begin:
Initial least terms: 
Number of terms: 
Sum of terms: 
Also, I wonder if this observation continues to hold for all cases:
> Assuming that the sets of unit fractions that sum to n are 
> accumulative, so that the (n+1)-th set contains the n-th set, 
> then we can separate these into subsets of unit fractions that sum 
> to unity. 

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