A388162 Decimal expansion of (1/4) * exp(Pi / 4) * Pi^(1/4) * 2^(3/4) / Gamma(3/4).

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

Offset

1,5

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A005369(k) / exp(k*Pi).

Example

1.0018674492441201673058427718235557935...

Mathematica

First[RealDigits[((Pi/2)^(1/4)*Exp[Pi/4])/(2*Gamma[3/4]), 10, 100]]

Prog

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

Crossrefs

Cf. A005369.

Sequence in context: A153791 A004497 A091899 * A292829 A394351 A182369

Adjacent sequences: A388159 A388160 A388161 * A388163 A388164 A388165

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved