A341877 - OEIS

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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.

4

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

(list; graph; refs; listen; history; text; internal format)

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