I was amazed to discover that sequence http://oeis.org/A020473 in the OEIS has almost four hundred terms computed.
I wonder how one can get that far? E.g., how one can compute A020473(100)?
P.S. There was a related question http://mathoverflow.net/questions/27896/diophantine-equation-egyptian-fraction-representations-of-1 about Egyptian fractions with a fixed number of reciprocals (with unbounded denominators) for which there seemed to be no efficient counting algorithm (to compute hundreds of terms) known. I found it interesting how complexity of these two problems differ.