A341878 The number of vertices on a vesica piscis formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

2, 5, 19, 65, 203, 429, 963, 1643, 2929, 4173, 7179, 9985, 14747, 19503, 27043, 34511, 46011, 57171, 73339, 87509, 111219, 132809, 162459, 190703, 229419, 266285, 315041, 361179, 423067, 480201, 556451, 627039, 718923, 805217, 915091, 1017379, 1148595, 1270569, 1423907, 1564359

Offset

1,1

Comments

The terms are from numeric computation - no formula for a(n) is currently known.

Links

Table of n, a(n) for n=1..40.

Scott R. Shannon, Vertices for n = 4.

Scott R. Shannon, Vertices for n = 5.

Scott R. Shannon, Vertices for n = 10.

Scott R. Shannon, Vertices for n = 15.

Scott R. Shannon, Vertices for n = 16.

Wikipedia, Vesica piscis.

Crossrefs

Cf. A341877 (regions), A342152 (edges), A342153 (n-gons), A007569, A092866, A340644, A340686.

Sequence in context: A148433 A148434 A341762 * A062122 A148435 A047022

Adjacent sequences: A341875 A341876 A341877 * A341879 A341880 A341881

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Feb 22 2021

Status

approved