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A141682 Number of isomorphism classes of (2n+1)-reflexive polygons. 1
16, 1, 12, 29, 1, 61, 81, 1, 113, 131, 2, 163, 50, 2, 215, 233, 2, 34, 285, 3, 317, 335, 2, 367, 182, 3, 419, 72, 4, 469, 489, 3, 93, 539, 4, 571, 591, 3, 185, 641, 5, 673, 131, 5, 725, 240, 6, 148, 795, 5, 827, 845, 3, 877, 897, 7, 929, 186, 6, 338, 656, 7, 240, 1049, 8, 1081, 393, 5, 1133, 1151, 8, 542, 245, 7, 1235, 1253 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

There are no l-reflexive polygons for even index l.

LINKS

Andrey Zabolotskiy, Table of n, a(n) for n = 0..99 (from the Graded Ring Database)

Dimitrios I. Dais, On the Twelve-Point Theorem for l-Reflexive Polygons, arXiv:1806.08351 [math.CO], 2018.

A. M. Kasprzyk and B. Nill, Reflexive polytopes of higher index and the number 12, arXiv:1107.4945 [math.AG], 2011.

A. M. Kasprzyk and B. Nill, Toric l-reflexive surfaces at Graded Ring Database.

FORMULA

It seems that for n > 2, a(n) = 17*n - k where k = 21, 22, 23, 24 iff 2*n+1 is a prime from A068228, A068229, A040117, A068231, respectively. - Andrey Zabolotskiy, Apr 21 2022

EXAMPLE

a(0)=16 equals the number of isomorphism classes of (1-)reflexive polygons, A090045(2).

CROSSREFS

Cf. A090045.

Sequence in context: A040268 A321673 A040269 * A040270 A303327 A070539

Adjacent sequences:  A141679 A141680 A141681 * A141683 A141684 A141685

KEYWORD

nonn

AUTHOR

Benjamin Nill, Jul 02 2012

STATUS

approved

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Last modified October 3 22:17 EDT 2022. Contains 357237 sequences. (Running on oeis4.)