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[murthy amarnath]

Dear Dr. Sloane,
 Is there any classification of the OEIS like this?
(1)  infinite sequences with sum up to infinity of 
1/a(n) exists.
 (2) cases in which this limit can be found.

e.g. for the following sequence the limit 1/a(n) =
7/3. Please see the attachment.

ID Number: A003586
Sequence: 
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,
          
128,144,162,192,216,243,256,288,324,384,432,486,512,576,648,
          
729,768,864,972,1024,1152,1296,1458,1536,1728,1944,2048,
           2187,2304,2592,2916,3072,3456,3888
Name:      3-smooth numbers: 2^i*3^j with i, j >= 0.

----------------------------------------------

(3) Sequences with the property that every natural
number is a sum of distinct terms.
e.g.
(i) 2^n: 1,2,4,8,16,32,64,...
(ii) Fibonacci sequence.

thanks
rgds
amarnath murthy


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