cp's OEIS Frontend

A342269 Take a regular (2*n+1)-gon with all diagonals drawn; a(n) = number of edges in next-to-largest cell.

%I A342269 #18 Mar 08 2021 22:01:04
%S A342269 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,
%T A342269 12,12,12,10,10,11,12,12,10,10,10,10,12,10,10,12,13,12,12,11,12,12,12,
%U A342269 12,12,10,10,12,14,14,12,12,12,10,12,12,14,12,10,12,12
%N A342269 Take a regular (2*n+1)-gon with all diagonals drawn; a(n) = number of edges in next-to-largest cell.
%C A342269 The largest cell has 2*n+1 sides, this is the runner-up.
%C A342269 It can be read off the rows of A331450.
%C A342269 It would be nice to know how fast this sequence grows. Is it unbounded?
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_4.gif">Image for a(2) = 3</a>. The 5-gon has a next-to-largest cell with 3 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_3.gif">Image for a(3) = 5</a>. The 7-gon has a next-to-largest cell with 5 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_1.gif">Image for a(4) = 6</a>. The 9-gon has a next-to-largest cell with 6 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269.gif">Image for a(7) = 7</a>. The 15-gon has a next-to-largest cell with 7 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_2.gif">Image for a(6) = 8</a>. The 13-gon has a next-to-largest cell with 8 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_5.gif">Image for a(17) = 9</a>. The 35-gon has a next-to-largest cell with 9 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_6.gif">Image for a(15) = 10</a>. The 31-gon has a next-to-largest cell with 10 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_7.gif">Image for a(14) = 11</a>. The 29-gon has a next-to-largest cell with 11 edges.
%H A342269 Scott R. Shannon, <a href="/A342269/a342269_8.gif">Image for a(25) = 12</a>. The 51-gon has a next-to-largest cell with 12 edges.
%Y A342269 Cf. A331450, A342236, A341735, A341729, A342222.
%K A342269 nonn,more
%O A342269 2,1
%A A342269 _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 07 2021