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

1,1

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

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

Wikipedia, Vesica piscis.

Formula

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

Crossrefs

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

Sequence in context: A364383 A330870 A364707 * A153537 A153565 A153528

Adjacent sequences: A342149 A342150 A342151 * A342153 A342154 A342155

Keyword

nonn

Author

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

Status

approved