A388406 Decimal expansion of exp(-Pi/12) * sqrt(2) * Gamma(3/4) / Pi^(1/4).

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

Offset

1,5

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A035363(k) / exp(k*Pi).

Example

1.0018744370146240433848535349575346456...

Mathematica

First[RealDigits[Exp[-Pi/12]*Sqrt[2]*Gamma[3/4]/Pi^(1/4), 10, 100]] (* Paolo Xausa, Sep 17 2025 *)

Prog

(PARI) exp(-1/12 * Pi) * sqrt(2) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A035363.

Sequence in context: A260060 A394350 A260800 * A196914 A072102 A274442

Adjacent sequences: A388403 A388404 A388405 * A388407 A388408 A388409

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved