=ADD=
=reftype=
14
=number=
03-09
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2003/03-09.ps.gz
=year=
2003
=month=
09
=author=
Schneider; C.
=title=
A Note on the Number of Rhombus Tilings of a Symmetric Hexagon and Symbolic Summation
=abstract=
In order to count the number of certain rhombus tilings of a
symmetric hexagon, in [M. Fulmek and C. Krattenthaler,
The number of rhombus tilings of a symmetric hexagon which 
contains a fixed rhombus on the symmetric axis II, 2000] a closed form
evaluation of a definite multisum expression has been derived with
the help of highly involved transformations of special functions.
In this article we will illustrate, how this identity can be found
algorithmically in a straightforward manner by using the summation
package Sigma whose algebraic platform is based on difference
field theory.
=note=
Submitted
=sponsor=
Supported by the Austrian Academy of Sciences and the SFB-grant F1305 of the Austrian FWF.
=keywords=
Pad{\' e} approximation, combinatorial identities, computer algebra, creative telescoping