Exact Enumeration of Five Dimensional Partitions

This is the homepage for the exact enumeration of five-dimensional partitions. The goal of this project is to carry out the exact enumeration of the numbers of five-dimensional partitions. We hope to add around 10-15 more numbers. This is sequence A000390 in the OEIS.

Date Jan 2011
N 30
Code v1.0

### Current state of the project: Ongoing

• Jan 2011 Converted the code for solid partitions to compute five-dimensional partitions. This is v1.0 of the code. This generated the first 30 numbers. Nothing more was attempted as all efforts were towards pushing the solid partitions project.
• June 10, 2011 Creating a parallel version of the code used to obtain the first 30 numbers.
• Aug 2, 2011 Srivatsan completes the parallel version of the code. We hope to generate 10 more numbers after some preliminary tests are carried out to validate the code. With the runs for 4d partitions being completed, the timing couldn't have been more perfect.
• Sept 27, 2011 The parallel code has bugs and hence no runs will be carried out until it is completely debugged.
• Mar 2, 2012 Two new numbers are added using the new Bratley code!
(1)