A388480 Decimal expansion of 2 * sqrt(2 * (1+sqrt(2))) * exp(-Pi/2).

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

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} A093085(k) / exp(k*Pi).

Example

0.91357595220400304767646896858036582694...

Mathematica

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

Prog

(PARI) 2 * exp(-Pi / 2) * 2^(1/4) * (2+2^(1/2))^(1/2)

Crossrefs

Cf. A093085.

Sequence in context: A388560 A388873 A388661 * A248557 A388580 A388660

Adjacent sequences: A388477 A388478 A388479 * A388481 A388482 A388483

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved