[seqfan] Re: could GUESSS, which superseeker uses, be improved ?
olivier.gerard at gmail.com
Mon Aug 29 17:54:14 CEST 2011
This would not be an improvement but a potential limitation.
You are free to discard fractional results yourself
if you have hints that the sequence is strictly integral.
In the case you have tested, it just means that a gf is
very improbable unless it is much more complicated
that what GUESSS is designed and parametrized to look for.
For other users and other sequences, a fractional continuation
could be a valuable insight about the nature of the sequence.
On Mon, Aug 29, 2011 at 13:11, Alexander P-sky <apovolot at gmail.com> wrote:
> Could "GUESSS", HARM DERKSEN'S PROGRAM FOR GUESSING A GENERATING
> FUNCTION FOR A SEQUENCE, which superseeker uses, be improved to
> exclude cases with non-integer results as shown below ?
> Any taker ?
> ---------- Forwarded message ----------
> From: superseq-reply at oeis.org
> Report on [ 3,5,7,8,10,11,12,12,14,15,16,16,18,19,20,20,21,21]:
> TRY "GUESSS", HARM DERKSEN'S PROGRAM FOR GUESSING A GENERATING
> FUNCTION FOR A SEQUENCE.
> Guesss suggests that the generating function F(x)
> may satisfy the following algebraic or differential equation:
> ^2+2*x+3+(x^9-x^8-71/64*x^7+1/16*x^6-27/16*x^5+25/16*x^4+59/64*x^3+x-1)*F(x) =
> If this is correct the next 6 numbers in the sequence are:
> [21, 1221/64, 1003/64, 335/32, 14567/4096, -9839/1024]
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