cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A342236 #24 Dec 01 2021 20:14:08
%S A342236 4,6,7,9,15,13,35,29,29,40,93,43,399,212
%N 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.
%C A342236 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.
%C A342236 See A342222 for other images of the m-sided polygons.
%C A342236 a(17) is presently unknown, but if a(17) > 0 it is greater than 765.
%H A342236 Scott R. Shannon, <a href="/A342236/a342236.gif">Image for a(3) = 4</a>.
%H A342236 Scott R. Shannon, <a href="/A342236/a342236_1.gif">Image for a(9) = 35</a>.
%H A342236 Scott R. Shannon, <a href="/A342236/a342236_2.gif">Image for a(13) = 93</a>.
%Y A342236 Cf. A342222, A007678, A331450, A331451, A007569, A135565.
%Y A342236 See also A341729 and A341730 for the maximum number of sides in any cell.
%K A342236 nonn,more
%O A342236 3,1
%A A342236 _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 06 2021
%E A342236 a(15)-a(16) added by _Scott R. Shannon_, Mar 15 2021
%E A342236 Minimum value for a(17) updated by _Scott R. Shannon_, Mar 21 2021
%E A342236 Minimum value for a(17) updated by _Scott R. Shannon_, Nov 30 2021