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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
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
KEYWORD
nonn,more
AUTHOR
STATUS
approved