Permutations
Gordon Royle
gordon at csse.uwa.edu.au
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 comcast.net>
Like maybe 3^(1/3)?
----- Original Message -----
For A006906, could a(n+1)/a(n) be approaching a limit?
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