A388453 Decimal expansion of exp(-Pi/12) * sqrt(2).

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

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} A073252(k) / exp(k*Pi).

Example

1.0884712648374223238242312095088361546478514482121121962004744800354912306296589....

Mathematica

First[RealDigits[Sqrt[2]*Exp[-1/12*Pi], 10, 100]]

Prog

(PARI) exp(-1/12 * Pi) * sqrt(2)

Crossrefs

Cf. A073252.

Sequence in context: A388483 A388884 A388598 * A388521 A154841 A258984

Adjacent sequences: A388450 A388451 A388452 * A388454 A388455 A388456

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved