[seqfan] estimating growth of a sequence

N. J. A. Sloane njas at research.att.com
Wed Apr 6 19:56:59 CEST 2011


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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