A388599 Decimal expansion of ((1+sqrt(2)) * exp(-Pi/8) * Gamma(1/4) * sin(Pi / 8)) / Pi^(3/4).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A132966(k) / exp(k*Pi).

Example

0.95848864490807448790122930889443957803...

Mathematica

First[RealDigits[((1 + Sqrt[2])*Exp[-1/8*Pi]*Gamma[1/4]*Sin[Pi/8])/Pi^(3/4), 10, 100]]

Prog

(PARI) (1/4) * exp(-1/8 * Pi) * 2^(3/4) * gamma(5/8) * (2+2^(1/2)) / Pi^(1/4) / gamma(7/8)

Crossrefs

Cf. A132966.

Sequence in context: A203081 A346440 A329715 * A388564 A388460 A388776

Adjacent sequences: A388596 A388597 A388598 * A388600 A388601 A388602

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved