A388246 Decimal expansion of (1/2) * exp(Pi/6) * sqrt(2).

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

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} A022569(k) / exp(k*Pi).

Example

1.19366115548474674686975310481878071396942243901712037686057974923549065770....

Mathematica

First[RealDigits[Exp[Pi/6]/Sqrt[2], 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

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

Crossrefs

Cf. A022569.

Sequence in context: A388446 A088543 A256854 * A182552 A388952 A021985

Adjacent sequences: A388243 A388244 A388245 * A388247 A388248 A388249

Keyword

nonn,cons,easy

Author

Simon Plouffe, Sep 15 2025

Status

approved