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A335192 a(n) is the number of regions inside an n-gon formed by the straight line segments connecting vertex k to vertex 3k mod n. 9
1, 2, 4, 7, 8, 6, 12, 19, 23, 18, 31, 39, 37, 28, 56, 57, 68, 60, 76, 93, 103, 72, 119, 133, 129, 126, 164, 163, 184, 146, 196, 223, 239, 206, 263, 283, 277, 240, 328, 317, 356, 336, 372, 409, 431, 348, 463, 489, 481, 474, 548, 543, 584, 510, 604, 651, 679 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

The envelope of the lines form a nephroid.

LINKS

Lars Blomberg, Table of n, a(n) for n = 3..300

Lars Blomberg, Illustration for n = 10

Lars Blomberg, Illustration for n = 20

Lars Blomberg, Illustration for n = 40

Lars Blomberg, Illustration for n = 200

CROSSREFS

Cf. A335193 (edges), A335194 (vertices), A335195 (n-gons).

Sequence in context: A094541 A166928 A237199 * A092577 A182842 A009282

Adjacent sequences:  A335189 A335190 A335191 * A335193 A335194 A335195

KEYWORD

nonn

AUTHOR

Lars Blomberg, May 26 2020

STATUS

approved

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Last modified July 11 20:03 EDT 2020. Contains 335652 sequences. (Running on oeis4.)