By Shalosh B. EKHAD
(Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger)
Feb. 16, 2012
Last update of this webpage (but not of article): March 21, 2012.
We have come a long way since 1967! Then Oliver Atkin, Paul Bratley, Ian Macdonald, and John McKay, derived explicit expressions in m, for the number of m-dimensional partitions of n, for n up to 10. Here we "easily" do it for n=11 and n=12, and with better code, and bigger computers, one might be able to go up to n=20. But will we ever be able to know the expression for n=300? I doubt it! So, after all, we have not come such a long way.
Doron Zeilberger's Home Page