A388325 Decimal expansion of exp(-Pi/6) * sqrt(2).

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

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} A022599(k) / exp(k*Pi).

Example

0.83775868503813312310216115331372633878718967733823591075744635026450016191216530....

Mathematica

First[RealDigits[Sqrt[2]*Exp[-1/6*Pi], 10, 100]]

Prog

(PARI) exp(-1/6 * Pi) * sqrt(2)

Crossrefs

Cf. A022599.

Sequence in context: A033990 A388572 A248190 * A099284 A061444 A011214

Adjacent sequences: A388322 A388323 A388324 * A388326 A388327 A388328

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved