A388799 Decimal expansion of (sqrt(2+sqrt(2)) * exp(-Pi/24)) / 2^(5/8).

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

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A226622(k) / exp(k*Pi).

Example

1.051120677498340037338103676865649674...

Mathematica

First[RealDigits[Exp[-Pi/24]*Sqrt[2 + Sqrt[2]]/2^(5/8), 10, 100]] (* Paolo Xausa, Sep 21 2025 *)

Prog

(PARI) (1/2) * exp(-1/24 * Pi) * 2^(3/8) * (2+2^(1/2))^(1/2)

Crossrefs

Cf. A226622.

Sequence in context: A304320 A130511 A320410 * A011396 A256503 A379483

Adjacent sequences: A388796 A388797 A388798 * A388800 A388801 A388802

Keyword

nonn,cons,easy

Author

Simon Plouffe, Sep 18 2025

Status

approved