[seqfan] Re: estimating growth of a sequence

[Christopher Gribble]

This may have some relevance:

http://arxiv.org/PS_cache/arxiv/pdf/1009/1009.4404v1.pdf

Best regards,

Chris Gribble

-----Original Message-----
From: seqfan-bounces at list.seqfan.eu [mailto:seqfan-bounces at list.seqfan.eu]
On Behalf Of N. J. A. Sloane
Sent: 06 April 2011 6:57 PM
To: seqfan at seqfan.eu
Cc: njas at research.att.com
Subject: [seqfan] estimating growth of a sequence

Dear Sequence Fans, This is a problem that I encounter all the time. I have
120 terms of a sequence, and I want a good guess for the asymptotic rate of
growth.

My current problem is A156043. I created a b-file of 120 terms.
Very crudely it seems that
a(n) is approaching 4^n / ( 6 n ln n).
But I don't have much confidence in that.

Is there a package in Maple or some other language that will do this sort of
thing automatically?

Statisticians must need this.

Neil


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