%I #19 Mar 26 2023 17:05:41

%S 8,5,0,5,1,1,2,8,7,7,9,8,0,6,5,9,2,3,7,7,7,9,6,7,1,5,5,2,1,9,2,4,6,9,

%T 2,0,6,6,9,8,2,5,9,1,2,6,8,4,2,0,6,8,8,4,0,5,7,6,2,4,5,9,3,9,1,5,9,4,

%U 5,8,9,3,7,0,0,8,3,4,6,7,3,1,2,7,1,7,4,3,6,3,7,9,0,5,7,6,4,6,7,8,7,3,1,4,5,0,3,1,6,1,1,4,9,0,2,0,8,2,9,1,5,9,8,2,3,4,7

%N Maximum latitude in degrees of spherical Mercator projection with an aspect ratio of one, arctan(sinh(Pi))*180/Pi.

%C Widely used as a cutoff line of web maps which use the web Mercator projection.

%F Equals arctan(sinh(Pi))*180/Pi.

%F Equals 360/Pi*arctan(exp(Pi)) - 90.

%e 85.05112877980659237779671552192469206698259126842068...

%t RealDigits[ArcTan[Sinh[Pi]]/Degree, 10, 100][[1]] (* _Amiram Eldar_, Mar 06 2023 *)

%o (PARI) atan(sinh(Pi))*180/Pi \\ _Michel Marcus_, Mar 06 2023

%Y Cf. A334401.

%K nonn,cons

%O 2,1

%A _Donghwi Park_, Mar 06 2023