A388462 Decimal expansion of exp(-Pi/8) * sqrt(2).

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

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} A082303(k) / exp(k*Pi).

Example

0.95492212013964388714356212328576854203...

Mathematica

First[RealDigits[Sqrt[2]*Exp[-1/8*Pi], 10, 100]]

Prog

(PARI) exp(-1/8 * Pi) * sqrt(2)

Crossrefs

Cf. A082303.

Sequence in context: A388609 A388576 A259148 * A089491 A389022 A199792

Adjacent sequences: A388459 A388460 A388461 * A388463 A388464 A388465

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved