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 A342269 Take a regular (2*n+1)-gon with all diagonals drawn; a(n) = number of edges in next-to-largest 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 (list; graph; refs; listen; history; text; internal format)
 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 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: 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

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Last modified September 19 15:37 EDT 2021. Contains 347564 sequences. (Running on oeis4.)