A341877 The number of regions inside a vesica piscis formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

1, 4, 24, 84, 236, 508, 1048, 1820, 3110, 4644, 7428, 10520, 15108, 20288, 27576, 35632, 46652, 58548, 74156, 89992, 112288, 135064, 163684, 193572, 230884, 269612, 316846, 365496, 425060, 485392, 558744, 632888, 721636, 811724, 918040, 1025224, 1151904, 1279188, 1427720, 1575496

Offset

1,2

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, Regions for n=4.

Scott R. Shannon, Regions for n=5.

Scott R. Shannon, Regions for n=10.

Scott R. Shannon, Regions for n=15.

Scott R. Shannon, Regions for n=16.

Wikipedia, Vesica piscis.

Crossrefs

Cf. A341878 (vertices), A342152 (edges), A342153 (n-gons), A007678, A092867, A340639, A340685.

Sequence in context: A210569 A334581 A341688 * A005561 A061612 A097875

Adjacent sequences: A341874 A341875 A341876 * A341878 A341879 A341880

Keyword

nonn

Author

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

Status

approved