A216707 Decimal expansion of e^(2*Pi).

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

Offset: 3

Author

John W. Nicholson, Sep 16 2012

Keywords

• nonn
• cons

Comments

Gelfond's constant squared.

The proportionate distance between images of an object (e.g., galaxy) seen behind a nonrotating (Schwarzschild) black hole, see Sneppen link. The factor is reduced for rotating (Kerr) black holes. - Charles R Greathouse IV, Oct 17 2021

Examples

			535.4916555247647365030493295890471814778057976032949155072052550373...
		

Links

• Albert Sneppen, Divergent reflections around the photon sphere of a black hole, Scientific Reports 11, 14247 (2021).
• Index entries for transcendental numbers

Crossrefs

Cf. A039661.

Programs

Mathematica

RealDigits[E^(2*Pi), 10, 105][[1]] (* T. D. Noe, Sep 17 2012 *)

PARI

exp(2*Pi) \\ Charles R Greathouse IV, May 14 2019

Formula

Equals A039661^2.

Equals (i^i)^(-4).