OFFSET
1,1
COMMENTS
For any triangle ABC (see Crux Mathematicorum):
(sin(A) + sin(B) + sin(C)) * (1/A + 1/B + 1/C) >= 27*sqrt(3) / (2*Pi),
where (A,B,C) are the angles in radians.
Equality stands iff triangle ABC is equilateral.
LINKS
Shi-Chang Chi and Ji Chen, Douglas L. Grant, Problem 2015, Crux Mathematicorum, Vol. 22, No. 1 (1996), pp. 47-48.
EXAMPLE
7.442940088194192668402907727...
MAPLE
evalf(27*sqrt(3)/(2*Pi), 110);
MATHEMATICA
RealDigits[(27*Sqrt[3]/(2*Pi)), 10, 110][[1]] (* Amiram Eldar, May 21 2022; corrected by Georg Fischer, Aug 04 2024 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bernard Schott, May 20 2022
EXTENSIONS
a(100) corrected by Georg Fischer, Aug 04 2024
STATUS
approved