A141682 Number of isomorphism classes of (2n+1)-reflexive polygons.

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

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: A321673 A040269 A360028 * A040270 A303327 A070539

Adjacent sequences: A141679 A141680 A141681 * A141683 A141684 A141685

Keyword

nonn

Author

Benjamin Nill, Jul 02 2012

Status

approved