On Mar 23, 5:25 pm, quasi <qu...@null.set> wrote: > Butch Malahide wrote: > > >Now I get 2, 7, 21, 61, 180 for the first five values. Doesn't > >match anything in the OEIS. I did the work slowly and carefully > >(took about an hour and a half), and so I'm reasonably sure my > >numbers are correct. > > I wrote a program to do the counts. > > It's very slow (it was designed for ease of programming, not for > speed of execution), but at least it's automatic. > > For n = 1, 2, 3, 4, 5, I get the counts > > 2, 7, 21, 61, 178 > > so I match your counts until n = 5. > > To help identify the cause of the discrepancy, let me ask this: > > For n = 5 (5 segments) how many non-homeomorphic _connected_ > compactifications did you get which cannot be represented with > less than 5 segments? I get 39 such spaces.
Last night I counted 41 of them. I'll count them again and let you know how many I get this time.