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murthy amarnath amarnath_murthy at yahoo.com
Wed May 28 07:19:57 CEST 2003


Dear Dr. Sloane and seq fans,

Does the following sequence make sence?
rearrangement of natural numbers in an ascending order
such that
a(n)/sigma(n)  <= a(n+1)/sigma(n+1).

sigma(6) = 12, sigma(12)= 28.
12/28 < 6/12
hence 12 comes before 6 in the sequence 

the sequence of sigma function is given by 

ID Number: A000203 (Formerly M2329 and N0921)
Sequence: 
1,3,4,7,6,12,8,15,13,18,12,28,14,24,24,31,18,39,20,42,32,36,
24,60,31,42,40,56,30,72,32,63,48,54,48,91,38,60,56,90,42,96,
        
44,84,78,72,48,124,57,93,72,98,54,120,72,120,80,90,60,168,
          62,96,104,127,84,144,68,126,96,144
Name:      sigma(n) = sum of divisors of n. Also
called sigma_1(n).

thanks
rgds
 amarnath murthy

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