A388754 Decimal expansion of (sqrt(2-sqrt(2)) * exp(Pi / 2)) / 4.

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

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} A210063(k) / exp(k*Pi).

Example

0.92044499773122416676243157167018375452835183454662245118097187996510907298....

Mathematica

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

Prog

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

Crossrefs

Cf. A210063.

Sequence in context: A388750 A327995 A388935 * A019876 A155696 A388596

Adjacent sequences: A388751 A388752 A388753 * A388755 A388756 A388757

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved