Floor of 1000000 times the area of the n circular segments outside the unit n-gon.
1842554, 1141592, 763951, 543516, 405182, 313165, 249048, 202666, 168068, 141592, 120892, 104406, 91067, 80125, 71038, 63411, 56947, 51422, 46663, 42534, 38929, 35764, 32969, 30489, 28278, 26299, 24521, 22917, 21465, 20147, 18947, 17850, 16846, 15925
3
That is, when an n-gon is inscibed in a unit circle, this is 10^6 times the area of the n circular segments of the circle not in the n-gon. This curve is zero for all n >= 4547.
T. D. Noe, Plot of terms 3 to 1000
T. D. Noe, Table of terms 3 to 1000
(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[n*1000000*b], {n, 3, 100}]
Cf. S000236-S000238, S000243-S000249, S000250.
nonn
T. D. Noe, Sep 05 2014