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A331931 The number of regions inside a hexagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. 18

%I #26 May 12 2020 04:43:41

%S 24,408,2268,8208,20832,44640,89214,154752,249906,390012,590658,

%T 824712,1183704,1580868,2067162,2770476,3585582,4397172,5665818,

%U 6827736,8318976,10209948,12364098,14395164,17194230,20216808,23436612,27124416,31817676,35516328

%N The number of regions inside a hexagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

%C The terms are from numeric computation - no formula for a(n) is currently known.

%H Scott R. Shannon, <a href="/A331931/a331931.png">Hexagon regions for n = 1</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_1.png">Hexagon regions for n = 2</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_2.png">Hexagon regions for n = 3</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_6.png">Hexagon regions for n = 4</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_4.png">Hexagon regions for n = 5</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_5.png">Hexagon regions for n = 6</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_7.png">Hexagon regions for n = 7</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_8.png">Hexagon regions for n = 8</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_9.png">Hexagon regions for n = 5, with random distance-based coloring</a>.

%H Scott R. Shannon, <a href="/A331931/a331931_10.png">Hexagon regions for n = 6, with random distance-based coloring</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Hexagon">Hexagon</a>.

%Y Cf. A331932 (n-gons), A330845 (edges), A330846 (vertices), A007678, A092867, A331452, A331929.

%K nonn

%O 1,1

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Feb 01 2020

%E a(9)-a(30) from _Lars Blomberg_, May 12 2020

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Last modified April 25 13:12 EDT 2024. Contains 371969 sequences. (Running on oeis4.)