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A008981 Number of immersions of the unoriented circle into the oriented plane with n double points. 6
1, 2, 5, 21, 102, 639, 4492, 34032, 272252, 2267905, 19502386 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

See Table 1, column 3 of E.D.Demaine et al., paper. [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 22 2010]

REFERENCES

V. I. Arnold, Topological Invariants of Plane Curves..., American Math. Soc., 1994, p. 16.

E.D.Demaine, M.L. Demaine, P. Taslakian and G.T. Toussaint, "Sand drawings and Gaussian graphs", Journal of Mathematics and the Arts, 1 (2007), 125-133. [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 22 2010]

LINKS

S. M. Gusein-Zade and F. S. Duzhin, On the number of topological types of plane curves; (Russian) Uspekhi Mat. Nauk 53 (1998), number 3(321), 197-198. English translation: Russian Mathematical Surveys 53 (1998) 626-627.

CROSSREFS

Cf. A008980, A008982, A008983, A008984, A008985, A054993.

Cf. A172023 [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 22 2010]

Sequence in context: A062297 A047104 A115087 * A008982 A130471 A002628

Adjacent sequences:  A008978 A008979 A008980 * A008982 A008983 A008984

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Additional comments from Sergei V. Duzhin (duzhin(AT)botik.ru), Nov 11, 2000.

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Last modified February 15 08:49 EST 2012. Contains 205740 sequences.