A342269 Take a regular (2*n+1)-gon with all diagonals drawn; a(n) = number of edges in next-to-largest cell.

3, 5, 6, 6, 8, 7, 8, 8, 7, 8, 8, 8, 11, 10, 8, 9, 10, 8, 10, 14, 9, 10, 10, 12, 12, 10, 10, 12, 12, 12, 12, 10, 10, 11, 12, 12, 10, 10, 10, 10, 12, 10, 10, 12, 13, 12, 12, 11, 12, 12, 12, 12, 12, 10, 10, 12, 14, 14, 12, 12, 12, 10, 12, 12, 14, 12, 10, 12, 12

Offset

2,1

Comments

The largest cell has 2*n+1 sides, this is the runner-up.

It can be read off the rows of A331450.

It would be nice to know how fast this sequence grows. Is it unbounded?

Links

Table of n, a(n) for n=2..70.

Scott R. Shannon, Image for a(2) = 3. The 5-gon has a next-to-largest cell with 3 edges.

Scott R. Shannon, Image for a(3) = 5. The 7-gon has a next-to-largest cell with 5 edges.

Scott R. Shannon, Image for a(4) = 6. The 9-gon has a next-to-largest cell with 6 edges.

Scott R. Shannon, Image for a(7) = 7. The 15-gon has a next-to-largest cell with 7 edges.

Scott R. Shannon, Image for a(6) = 8. The 13-gon has a next-to-largest cell with 8 edges.

Scott R. Shannon, Image for a(17) = 9. The 35-gon has a next-to-largest cell with 9 edges.

Scott R. Shannon, Image for a(15) = 10. The 31-gon has a next-to-largest cell with 10 edges.

Scott R. Shannon, Image for a(14) = 11. The 29-gon has a next-to-largest cell with 11 edges.

Scott R. Shannon, Image for a(25) = 12. The 51-gon has a next-to-largest cell with 12 edges.

Crossrefs

Cf. A331450, A342236, A341735, A341729, A342222.

Sequence in context: A267884 A370088 A077859 * A364751 A123572 A244953

Adjacent sequences: A342266 A342267 A342268 * A342270 A342271 A342272

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Mar 07 2021

Status

approved