A374832 Number of incongruent n-sided Reinhardt polygons.

0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 5, 0, 1, 5, 1, 2, 10, 1, 1, 12, 4, 1, 23, 2, 1, 41, 1, 0, 64, 1, 12, 102, 1, 1, 191, 12, 1, 338, 1, 2, 777, 1, 1, 1088, 9, 34, 2057, 2, 1, 3771, 66, 12, 7156, 1, 1, 17856, 1, 1, 26811, 0, 193, 48272, 1, 2, 92206, 385, 1, 175792

Offset: 1

Author

Bernd Mulansky, Jul 21 2024

Keywords

• nonn

References

• Karl Reinhardt, Extremale Polygone gegebenen Durchmessers. Jahresber. Deutsche Math.-Verein. 31 (1922): 251-70.

Links

• Kevin G. Hare and Michael J. Mossinghoff, Sporadic Reinhardt Polygons, Discrete & Computational Geometry. An International Journal of Mathematics and Computer Science 49, no. 3 (2013): 540-57.
• Kevin G. Hare and Michael J. Mossinghoff, Most Reinhardt Polygons Are Sporadic, Geom. Dedicata 198 (2019): 1-18.
• Michael J. Mossinghoff, Enumerating Isodiametric and Isoperimetric Polygons, J. Combin. Theory Ser. A 118, no. 6 (2011): 1801-15.
• Wikipedia, Reinhardt polygon.

Crossrefs

Cf. A373694, A373695.

Formula

a(n) = A373694(n) + A373695(n). - Bernd Mulansky, Aug 23 2024

Extensions

More terms from Bernd Mulansky, Aug 23 2024