Floor of 1000000 times the area of one circular segment outside the unit n-gon.
614184, 285398, 152790, 90586, 57883, 39145, 27672, 20266, 15278, 11799, 9299, 7457, 6071, 5007, 4178, 3522, 2997, 2571, 2222, 1933, 1692, 1490, 1318, 1172, 1047, 939, 845, 763, 692, 629, 574, 525, 481, 442, 407, 376, 348, 322, 299, 278, 259, 242, 226, 212
3
That is, when an n-gon is inscibed in a unit circle, this is 10^6 times the area of one of the n circular segments of the circle not in the n-gon. This curve is zero for all n >= 275.
T. D. Noe, Plot of terms 3 to 100
T. D. Noe, Table of terms 3 to 100
(Mma) Table[p = (1 + Cos[2*Pi/n])/2; q = Sin[2*Pi/n]/2; b = Pi/n - Sqrt[(p^2 + q^2) ((p - 1)^2 + q^2)]; Floor[1000000*b], {n, 3, 100}]
Cf. S000236-S000238, S000243-S000249, S000251.
nonn
T. D. Noe, Sep 05 2014