A388933 Decimal expansion of ((-4+3 * sqrt(2))^(1/8) * exp((7 * Pi) / 24)) / 2.

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

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} A261775(k) / exp(k*Pi).

Example

1.0472094700333064328630485674221733324...

Mathematica

First[RealDigits[((-4 + 3*Sqrt[2])^(1/8)*Exp[(7*Pi)/24])/2, 10, 100]]

Prog

(PARI) (1/2) * exp(7/24 * Pi) * 2^(15/16) / (2^(1/2) * (2-2^(1/2))^(1/2))^(1/2) / (2^(1/2) * (2+2^(1/2))^(1/2))^(1/2) / (2+2^(1/2))^(1/4)

Crossrefs

Cf. A261775.

Sequence in context: A388775 A388691 A388909 * A388692 A388934 A387545

Adjacent sequences: A388930 A388931 A388932 * A388934 A388935 A388936

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved