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A008980
Number of immersions of the oriented circle into the oriented plane with n double points.
6
2, 3, 10, 39, 204, 1262, 8984, 67959, 544504, 4535030, 39004772, 344217402, 3103896536
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OFFSET
0,1
REFERENCES
V. I. Arnold, Topological Invariants of Plane Curves and Caustics, American Math. Soc., 1994, p. 16.
LINKS
Table of n, a(n) for n=0..12.
S. M. Gusein-Zade and 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 53 (1998) 626-627.
S. M. Gusein-Zade and F. S. Duzhin, Enumeration of plane curves with up to 10 selfintersections,
Pascal program and result table
, 05 Apr 1998.
PROG
(Pascal) Cf. link.
CROSSREFS
Cf.
A008981
,
A008982
,
A008983
,
A008984
,
A008985
,
A054993
.
Sequence in context:
A144720
A164933
A003048
*
A064183
A050381
A129716
Adjacent sequences:
A008977
A008978
A008979
*
A008981
A008982
A008983
KEYWORD
nonn
,
nice
,
more
AUTHOR
N. J. A. Sloane
EXTENSIONS
Additional comments from
Sergei Duzhin
, Nov 11 2000
a(11)-a(12) from
Sean A. Irvine
, Apr 19 2018
STATUS
approved