%I #10 Dec 27 2017 01:58:57
%S 1,5,9,0,2,3,1,9,9,7,1,5,9,4,4,5,5,9,5,4,8,2,0,6,3,9,4,5,6,1,5,7,7,4,
%T 4,7,3,7,5,5,7,9,4,2,6,0,9,0,2,2,0,8,7,4,8,0,0,1,6,0,1,8,8,9,0,3,2,2,
%U 2,7,8,4,7,6,4,7,5,2,0,4,4,5,0,0,4,8,1,6,3,4,1,6,7,8,8,4,7,7,7,7,1,1,4,3,0
%N Decimal expansion of the ratio of the peak wavelength of Hawking radiation to the Schwarzchild radius of a black hole.
%C The Hawking radiation has a black-body distribution with a wavelength given by Wien's displacement law.
%D Mitchell Wick, Megaphysics III: Nothing Doesn’t Exist and Everything Does, AuthorHouse, 2017, Math Chapter 12.2.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Hawking_radiation">Hawking radiation</a>
%F Equals 8*Pi^2 / A094090.
%e 15.9023199715944559548206394561577447375579426090220874800160188903222...
%t RealDigits[8 Pi^2/(5 + ProductLog[-5/E^5]), 10, 111][[1]] (* _Robert G. Wilson v_, Nov 04 2017 *)
%o (PARI) 8*Pi^2/solve(x=0.1, 10, x-5*(1-exp(-x))) \\ Use real precision in excess
%Y Cf. A094090.
%K nonn,cons
%O 2,2
%A _Arkadiusz Wesolowski_, Nov 04 2017