A388452 Decimal expansion of exp(-Pi/8) * 2^(7/16) / (2-sqrt(2))^(1/4).

1, 0, 4, 5, 2, 4, 6, 5, 6, 9, 2, 0, 9, 3, 6, 6, 5, 4, 2, 4, 9, 8, 3, 5, 9, 7, 7, 3, 6, 7, 4, 2, 8, 7, 1, 3, 3, 2, 8, 3, 2, 2, 8, 0, 9, 4, 6, 0, 7, 8, 4, 7, 1, 9, 7, 3, 1, 8, 9, 7, 2, 1, 8, 8, 2, 2, 5, 7, 2, 9, 2, 1, 0, 7, 4, 5, 7, 3, 1, 7, 7, 2, 4, 7, 0, 6, 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} A070048(k) / exp(k*Pi).

Example

1.04524656920936654249835977367428713328322809460784719731897218822572921074573177....

Mathematica

First[RealDigits[2^(3/16)*(2 + Sqrt[2])^(1/4)*Exp[-1/8*Pi], 10, 100]]

Prog

(PARI) exp(-1/8 * Pi) * 2^(7/16) / (2-2^(1/2))^(1/4)

Crossrefs

Cf. A070048.

Sequence in context: A388394 A030322 A388395 * A105662 A021225 A388690

Adjacent sequences: A388449 A388450 A388451 * A388453 A388454 A388455

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved