%I #12 Dec 10 2019 23:17:00
%S 3,0,0,8,8,0,5,2,3,8,0,8,4,5,1,7,0,2,5,8,1,0,3,4,8,0,6,5,2,6,8,3,2,9,
%T 9,6,4,8,1,3,2,0,7,7,3,0,2,0,7,5,0,6,7,7,6,1,6,2,4,0,9,1,1,3,2,4,9,2,
%U 0,5,9,7,9,4,4,0,1,6,6,5,7,2,8,2,0,0,2,9,7,6,9,2,9,3,7,1,8,1,8,9
%N Decimal expansion of arcsin(sqrt(1 - (e/Pi)^2)) (in degrees), lesser angle in right triangle with hypotenuse Pi and longer leg e.
%C Triangle with hypotenuse Pi, longer leg e and shorter leg close to Pi/2 (and angle close to 30 degrees). Cf. A096437: Decimal expansion of sqrt(Pi^2 - e^2).
%H G. C. Greubel, <a href="/A106153/b106153.txt">Table of n, a(n) for n = 1..10000</a>
%F arcsin[sqrt(1-(e/Pi)^2) = 30.088052380845 degrees.
%t RealDigits[N[ArcSin[Sqrt[Pi^2-E^2]/Pi]/Degree, 100]][[1]]
%o (PARI) asin(sqrt(Pi^2 - exp(2))/Pi)*(180/Pi) \\ _G. C. Greubel_, May 24 2017
%Y Cf. A096437.
%K cons,nonn
%O 1,1
%A _Zak Seidov_, May 07 2005
|