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A342236
a(n) is the smallest m such that a regular m-gon with all diagonals drawn contains a cell with n sides, as in A342222, but for odd m the central m-sided polygon is not considered. Otherwise a(n) = -1 if no such m exists.
6
4, 6, 7, 9, 15, 13, 35, 29, 29, 40, 93, 43, 399, 212
OFFSET
3,1
COMMENTS
An m-gon with an odd number of sides contains a central cell with m sides by its construction, and it will be the m-gon with the fewest possible sides to do so. See A342222 for a proof. This sequence lists the smallest m-sided polygon to contain an n-sided cell where this central cell is not considered for odd m.
See A342222 for other images of the m-sided polygons.
a(17) is presently unknown, but if a(17) > 0 it is greater than 765.
LINKS
Scott R. Shannon, Image for a(3) = 4.
Scott R. Shannon, Image for a(9) = 35.
Scott R. Shannon, Image for a(13) = 93.
CROSSREFS
See also A341729 and A341730 for the maximum number of sides in any cell.
Sequence in context: A010448 A005621 A140468 * A349549 A010418 A243193
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
a(15)-a(16) added by Scott R. Shannon, Mar 15 2021
Minimum value for a(17) updated by Scott R. Shannon, Mar 21 2021
Minimum value for a(17) updated by Scott R. Shannon, Nov 30 2021
STATUS
approved