A388520 Decimal expansion of 2 * (2+sqrt(3))^(1/3) * exp(-Pi/3).

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

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A112173(k) / exp(k*Pi).

Example

1.0886469501390631107818914990847563299...

Mathematica

First[RealDigits[Exp[-Pi/3]*2*CubeRoot[2 + Sqrt[3]], 10, 100]] (* Paolo Xausa, Sep 18 2025 *)

Prog

(PARI) exp(-1/3 * Pi) * 2^(1/3) * (2^(1/2) * (1+3^(1/2)))^(2/3)

Crossrefs

Cf. A112173.

Sequence in context: A195708 A340168 A019704 * A394190 A140976 A374750

Adjacent sequences: A388517 A388518 A388519 * A388521 A388522 A388523

Keyword

nonn,cons,easy

Author

Simon Plouffe, Sep 17 2025

Status

approved