cp's OEIS Frontend

A355799 Number of vertices formed in a square 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 square.

%I A355799 #13 Jul 18 2022 09:47:42
%S A355799 4,9,25,93,277,597,1405,2421,4357,6661,11261,14593,23625,30121,41453,
%T A355799 54477,75985,87677,122433,139461,177965,216017,275733,298805,383497,
%U A355799 439909,522473,588597,729501,763149,963573,1045701,1204481,1361789,1546309,1657125,2009113,2166617,2418733,2602789
%N A355799 Number of vertices formed in a square 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 square.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799.png">Image for n = 2</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_1.png">Image for n = 3</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_2.png">Image for n = 4</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_3.png">Image for n = 5</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_4.png">Image for n = 6</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_5.png">Image for n = 7</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_6.png">Image for n = 8</a>.
%H A355799 Scott R. Shannon, <a href="/A355799/a355799_7.png">Image for n = 16</a>.
%F A355799 a(n) = A355800(n) - A355798(n) + 1 by Euler's formula.
%Y A355799 Cf. A355798 (regions), A355800 (edges), A355801 (k-gons), A255011 (all vertices), A290131, A331452, A335678.
%K A355799 nonn
%O A355799 1,1
%A A355799 _Scott R. Shannon_, Jul 17 2022