cp's OEIS Frontend

A367662 Number of regions formed in a hexagon by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon.

%I A367662 #14 Dec 01 2023 20:43:07
%S A367662 1,6,54,252,780,1968,4146,7662,13014,21078,32562,46818,67962,93048,
%T A367662 123684,166794,217380,271056,349932,428250,523272,645744,784794,
%U A367662 918606,1104966,1304250,1515018,1768974,2071662,2317602,2734242,3101670,3486990,3987774,4460862,4978530,5688804,6316332
%N A367662 Number of regions formed in a hexagon by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon.
%C A367662 Keyword "look" is because of the linked images. - _N. J. A. Sloane_, Dec 01 2023
%H A367662 Scott R. Shannon, <a href="/A367662/a367662.png">Image for n = 2</a>.
%H A367662 Scott R. Shannon, <a href="/A367662/a367662_1.png">Image for n = 3</a>.
%H A367662 Scott R. Shannon, <a href="/A367662/a367662_2.png">Image for n = 5</a>.
%H A367662 Scott R. Shannon, <a href="/A367662/a367662_3.png">Image for n = 8</a>.
%H A367662 Scott R. Shannon, <a href="/A367662/a367662_4.png">Image for n = 12</a>.
%F A367662 a(n) = A367664(n) - A367663(n) + 1 by Euler's formula.
%Y A367662 Cf. A367663 (vertices), A367664 (edges), A367665 (k-gons), A355798.
%K A367662 nonn,look
%O A367662 1,2
%A A367662 _Scott R. Shannon_, Nov 26 2023