

A342269


Take a regular (2*n+1)gon with all diagonals drawn; a(n) = number of edges in nexttolargest cell.


1



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
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OFFSET

2,1


COMMENTS

The largest cell has 2*n+1 sides, this is the runnerup.
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 5gon has a nexttolargest cell with 3 edges.
Scott R. Shannon, Image for a(3) = 5. The 7gon has a nexttolargest cell with 5 edges.
Scott R. Shannon, Image for a(4) = 6. The 9gon has a nexttolargest cell with 6 edges.
Scott R. Shannon, Image for a(7) = 7. The 15gon has a nexttolargest cell with 7 edges.
Scott R. Shannon, Image for a(6) = 8. The 13gon has a nexttolargest cell with 8 edges.
Scott R. Shannon, Image for a(17) = 9. The 35gon has a nexttolargest cell with 9 edges.
Scott R. Shannon, Image for a(15) = 10. The 31gon has a nexttolargest cell with 10 edges.
Scott R. Shannon, Image for a(14) = 11. The 29gon has a nexttolargest cell with 11 edges.
Scott R. Shannon, Image for a(25) = 12. The 51gon has a nexttolargest cell with 12 edges.


CROSSREFS

Cf. A331450, A342236, A341735, A341729, A342222.
Sequence in context: A281591 A267884 A077859 * A123572 A244953 A076819
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



