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A341878 The number of vertices on a vesica piscis formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. 4

%I #11 Mar 02 2021 11:33:09

%S 2,5,19,65,203,429,963,1643,2929,4173,7179,9985,14747,19503,27043,

%T 34511,46011,57171,73339,87509,111219,132809,162459,190703,229419,

%U 266285,315041,361179,423067,480201,556451,627039,718923,805217,915091,1017379,1148595,1270569,1423907,1564359

%N The number of vertices on a vesica piscis 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="/A341878/a341878.png">Vertices for n = 4</a>.

%H Scott R. Shannon, <a href="/A341878/a341878_1.png">Vertices for n = 5</a>.

%H Scott R. Shannon, <a href="/A341878/a341878_2.png">Vertices for n = 10</a>.

%H Scott R. Shannon, <a href="/A341878/a341878_3.png">Vertices for n = 15</a>.

%H Scott R. Shannon, <a href="/A341878/a341878_4.png">Vertices for n = 16</a>.

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

%Y Cf. A341877 (regions), A342152 (edges), A342153 (n-gons), A007569, A092866, A340644, A340686.

%K nonn

%O 1,1

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Feb 22 2021

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)