A388631 Decimal expansion of 2 * exp(-Pi/3) * sqrt(2) * Gamma(3/4) / Pi^(1/4).

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

Offset

0,1

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A137830(k) / exp(k*Pi).

Example

0.91358551013811841283046984207784457396...

Mathematica

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

Prog

(PARI) 2 * exp(-1/3 * Pi) * sqrt(2) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A137830.

Sequence in context: A248557 A388580 A388660 * A388618 A388907 A388681

Adjacent sequences: A388628 A388629 A388630 * A388632 A388633 A388634

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved