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

Author

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

Keywords

• nonn

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.

Extensions

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