[seqfan] could GUESSS, which superseeker uses, be improved ?

[Alexander P-sky]

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 ?

Thanks,
ARP

---------- 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:

-71/64*x^9-69/32*x^8-441/64*x^7-145/16*x^6-525/64*x^5-467/64*x^4-113/64*x^3+2*x
^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) =
0

If this is correct the next 6 numbers in the sequence are:

[21, 1221/64, 1003/64, 335/32, 14567/4096, -9839/1024]