A342152 The number of edges 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, 8, 42, 148, 438, 936, 2010, 3462, 6038, 8816, 14606, 20504, 29854, 39790, 54618, 70142, 92662, 115718, 147494, 177500, 223506, 267872, 326142, 384274, 460302, 535896, 631886, 726674, 848126, 965592, 1115194, 1259926, 1440558, 1616940, 1833130, 2042602, 2300498, 2549756, 2851626, 3139854

Offset: 1

Author

Scott R. Shannon and N. J. A. Sloane, Mar 02 2021

Keywords

• nonn

Comments

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

See A341877 for images of the regions and A341878 for images of the vertices.

Links

• Wikipedia, Vesica piscis.

Crossrefs

Cf. A341877 (regions), A341878 (vertices), A342153 (n-gons), A135565, A332376, A340613, A340687.

Formula

a(n) = A341877(n) + A341878(n) - 1.