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A215748 Characteristic numbers of smooth plane quartics. 0
1, 6, 36, 216, 1296, 7776, 46656, 279600, 1668096, 9840040, 56481396, 308389896, 1530345504, 6533946576, 23011191144 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of curves of degree d=4 which are tangent to k lines and contain d(d+3)/2 - k points in general position in the plane.

REFERENCES

H. G. Zeuthen, Almindelige Egenskaber ved Systemer af plane Kurver, Kongelige Danske Videnskabernes Selskabs Skrifter — Naturvidenskabelig og Mathematisk, 10 (1873) 285-393. Danish with French summary.

LINKS

Table of n, a(n) for n=0..14.

R. Vakil, Characteristic numbers of quartic plane curves, Can. J. Math. 51 (1999), no. 5, 1089--1120.

P. Aluffi, Two characteristic numbers for smooth plane curves of any degree, Trans. A.M.S. 329 no. 1 (1992) 73-96.

CROSSREFS

Sequence in context: A216128 A007275 A206452 * A000400 A238936 A097681

Adjacent sequences:  A215745 A215746 A215747 * A215749 A215750 A215751

KEYWORD

fini,nonn

AUTHOR

Michel Marcus, Aug 23 2012

STATUS

approved

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Last modified March 8 20:52 EST 2021. Contains 341953 sequences. (Running on oeis4.)