A341729 Maximum number of sides in any cell in a regular n-gon with all diagonals drawn (cf. A007678).

3, 3, 5, 4, 7, 4, 9, 5, 11, 4, 13, 5, 15, 6, 17, 7, 19, 8, 21, 8, 23, 6, 25, 8, 27, 8, 29, 6, 31, 7, 33, 8, 35, 8, 37, 8, 39, 12, 41, 8, 43, 10, 45, 8, 47, 10, 49, 10, 51, 8, 53, 10, 55, 10, 57, 10, 59, 9, 61, 10, 63, 10, 65, 9, 67, 10, 69, 10, 71, 10, 73, 10, 75, 12, 77, 10, 79, 10

Offset

3,1

Comments

For a(2*n) see A341730.

Theorem: a(2*n+1) = 2*n+1. For the proof see A342222.

It would be nice to have a bigger b-file.

Links

Scott R. Shannon, Table of n, a(n) for n = 3..765

Crossrefs

Cf. A007678, A062361, A288177, A331450, A331451, A342222.

Bisections: A144396, A341730.

Sequence in context: A333822 A075795 A058268 * A087851 A332932 A087852

Adjacent sequences: A341726 A341727 A341728 * A341730 A341731 A341732

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Mar 06 2021

Extensions

a(141) and beyond from Scott R. Shannon, Nov 30 2021

Status

approved