Triangle inscribed in ellipse
Problem 471
The triangle ΔABC is inscribed in an ellipse with equation , 0 < 2b < a, a and b integers.
Let r(a,b) be the radius of the incircle of ΔABC when the incircle has center (2b, 0) and A has coordinates .
For example, r(3,1) = ½, r(6,2) = 1, r(12,3) = 2.
Let
You are given G(10) = 20.59722222, G(100) = 19223.60980 (rounded to 10 significant digits).
Find G(1011).
Give your answer in scientific notation rounded to 10 significant digits. Use a lowercase e to separate mantissa and exponent.
For G(10) the answer would have been 2.059722222e1.