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

1,9

References

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

Links

Table of n, a(n) for n=1..72.

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.

Formula

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

Crossrefs

Cf. A373694, A373695.

Sequence in context: A291771 A186972 A373694 * A053734 A238904 A214501

Adjacent sequences: A374829 A374830 A374831 * A374833 A374834 A374835

Keyword

nonn

Author

Bernd Mulansky, Jul 21 2024

Extensions

More terms from Bernd Mulansky, Aug 23 2024

Status

approved