Display all headersDate: Wed, 22 Mar 2006 02:10:20 +0100
From: superseq-reply@research.att.com
To: ****************@eunet.yu
Subject: Reply from superseeker

Report on [ 7,14,21,70,245,672,1771,5012]:
Many tests are carried out, but only potentially useful information
(if any) is reported here.
 
 
Even though there are a large number of sequences in the table, at least
one of yours is not there! Please send it to me using
the submission form on the sequence web page
http://www.research.att.com/~njas/sequences/Submit.html
and I will (probably) add it!  Include a brief description. Thanks!
 
SUGGESTION: GUESSGF FOUND ONE OR MORE GENERATING FUNCTIONS
WARNING: THESE MAY BE ONLY APPROXIMATIONS!
Generating function(s) and type(s) are:
 
                                  -7 + 7 x
                         [- ---------------------, ogf]
                               2                3
                            3 x  + 1 - 3 x - 7 x
 
 
 
SUGGESTION: LISTTOALGEQ FOUND ONE OR MORE ALGEBRAIC
EQUATIONS SATISFIED BY THE GEN. FN.
WARNING: THESE MAY BE ONLY APPROXIMATIONS!
Equation(s) and type(s) are:
 
                                                2           3
          [-n + (7 + 3 n) a(n) + (-7 - 3 n) a(n)  + 7 n a(n) , revogf]
 
 
 
Types of generating functions that may have been mentioned above:
 
ogf=ordinary generating function
egf=exponential generating function
revogf=reversion of ordinary generating function
revegf=reversion of exponential generating function
lgdogf=logarithmic derivative of ordinary generating function
lgdegf=logarithmic derivative of exponential generating function
 
 
TRY "GUESSS", HARM DERKSEN'S PROGRAM FOR GUESSING A GENERATING FUNCTION FOR A SEQUENCE.
 
         Guesss - guess a sequence, by Harm Derksen (hderksen@math.mit.edu)
 
Guesss suggests that the generating function  F(x) 
may satisfy the following algebraic or differential equation:
 
-x+1+(x^3-3/7*x^2+3/7*x-1/7)*F(x) = 0
 
If this is correct the next 6 numbers in the sequence are:
 
[14427, 40642, 113729, 320250, 904057, 2547524]
 
 
 
o  Take a look at my web page which does lookups "online"!  Go to:
http://www.research.att.com/~njas/sequences/
o  The whole sequence table is also visible there, as well as
     an explanation of the symbols used in the table.
o  If the sequence you looked up was not in the table,
     please send it to me using the submission form on the web page!
o  The server  sequences@research.att.com  does a simple lookup in the
   On-Line Encyclopedia of Integer Sequences
o  If the word "lookup" does not appear you will be sent the help file.
 
Sequentially yours, The On-Line Encyclopedia of Integer Sequences,
N. J. A. Sloane, AT&T Research, Florham Park NJ 07932-0971 USA njas@research.att.com