Gordon Royle gordon at
Fri Aug 17 05:24:50 CEST 2007

The largest single term grows as 3^(1/3) - see A000792.  Whereas the 
limit ratio of the number of terms - that is, the partition function, 
A000041 - is 1.  So if the limit exists, it must be 3^(1/3).

This doesn't actually prove that the limit ratio is 3^(1/3); it could 
oscillate around this value (as A000792 does).  While I don't off hand 
see how to complete the proof, both my intuition and the empirical 
evidence suggest that this limit does exist.

Franklin T. Adams-Watters

-----Original Message-----
From: David Wilson <davidwwilson at>

Like maybe 3^(1/3)?

----- Original Message -----

For A006906, could a(n+1)/a(n) be approaching a limit?

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