A388449 Decimal expansion of exp(-Pi / 4) * 2^(3/8) * (2+sqrt(2))^(1/2).

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

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} A058632(k) / exp(k*Pi).

Example

1.09254039044395108146344083223904778839081846910441120729279471821615338162180883....

Mathematica

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

Prog

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

Crossrefs

Cf. A058632.

Sequence in context: A388764 A388490 A342574 * A388244 A154838 A388923

Adjacent sequences: A388446 A388447 A388448 * A388450 A388451 A388452

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved