Higher-Dimensional Partitions

by Suresh Govindarajan, Department of Physics, IIT Madras

Partitions of integers < 27 in any dimension. Pick a dimension and an integer and press the compute button. The answer will appear to the right.


Based on Suresh Govindarajan, Notes on Higher Dimensional Partitions, arXiv:1203.4419
Journal of Combinatorial Theory, Series A 120 (2013) 600–622.

Credits: Numbers generated by programs written by Srivatsan Balakrishnan, Paul Bratley, Arun K. Jayaraman and Suresh Govindarajan; Programs were run on the superclusters at the High Performance Computing Environment at IIT Madras; Javascript by Arun Chaganty

If you use these numbers anywhere, please do cite the above manuscript. Contact me (suresh at physics.iitm.ac.in) if you have any suggestions or comments. If you wish to contribute to the project, contact me at solidpartitions at gmail.com.

Disclaimer: A lot of effort has gone into ensuring the correctness of these results, however they have not been independently verified. However see my Table of Partitions that was computed using another algorithm.

v23: Sept. 20, 2011; v24: Feb. 26, 2012; v25: Mar. 20, 2012;
v26: Apr. 24, 2012 [current version]