A388606 Decimal expansion of -1/9 * ((-3+sqrt(3)) * exp((2 * Pi) / 3)).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A132978(k) / exp(k*Pi).

Example

1.1440462394135833466373035234431688212...

Mathematica

First[RealDigits[-1/9*((-3 + Sqrt[3])*Exp[(2*Pi)/3]), 10, 100]]

Prog

(PARI) (2/9) * exp(2/3 * Pi) * Pi * gamma(11/12) * (3^(1/2)-1)^2 / gamma(2/3)^2 / gamma(7/12)

Crossrefs

Cf. A132978.

Sequence in context: A283361 A138518 A290799 * A155836 A337398 A245971

Adjacent sequences: A388603 A388604 A388605 * A388607 A388608 A388609

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved