Number of topological types of plane curves with simple double
points.
A closed curve is a mapping S^1 \to R^1 considered up to a
diffeomorphism of S^1 and a diffeomorphism of R^1, where
one can consider either all diffeomorphisms or only orientation-
preserving ones.
The columns correspond to the four possibilities that arise.
For example, 'both' means 'both the circle and the plane are oriented',
which means that both groups in question consist only of orientation
preserving diffeomorphisms.

                          CLOSED CURVES                       LONG
           both        plane       circle      nothing       CURVES
 0            2            1            1            1            1
 1            3            2            2            2            2
 2           10            5            5            5            8
 3           39           21           21           20           42
 4          204          102          102           82          260
 5         1262          639          640          435         1796
 6         8984         4492         4492         2645        13396
 7        67959        34032        34047        18489       105706
 8       544504       272252       272252       141326       870772
 9      4535030      2267905      2268085      1153052      7420836
10     39004772     19502386     19502386      9819315     65004584

This table is the output of a Pascal program by F.S.Duzhin,
obtained on 02-Feb-98.
The program was compiled with the GNU Pascal compiler (command line:
"pc --borland-pascal allcurve.pas") and executed on a Pentium 200 
computer running Slackware Linux 2.0.32. 
Execution time was 6h43m.

For details see the original paper:
   S.M.Gusein-Zade, F.S.Duzhin. On the number of topological types of
   plane curves. (Russian) Uspekhi Mat. Nauk 53 (1998), no. 3(321), 197--198.
   English translation: Russian Mathematical Surveys {\bf 53} (1998) 626-627).