A361260 Maximum latitude in degrees of spherical Mercator projection with an aspect ratio of one, arctan(sinh(Pi))*180/Pi.

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, 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, 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

Offset: 2

Author

Donghwi Park, Mar 06 2023

Keywords

• nonn
• cons

Comments

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

Examples

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Crossrefs

Cf. A334401.

Programs

Mathematica

RealDigits[ArcTan[Sinh[Pi]]/Degree, 10, 100][[1]] (* Amiram Eldar, Mar 06 2023 *)

PARI

atan(sinh(Pi))*180/Pi \\ Michel Marcus, Mar 06 2023

Formula

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

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