A388435 Decimal expansion of (1/8) * exp(Pi / 2) * Pi^(3/4) * sqrt(2) / Gamma(3/4)^3.

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

Offset

1,3

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} A045828(k) / exp(k*Pi).

Example

1.0904963237438401994904052424493352019...

Mathematica

First[RealDigits[(-8*Sqrt[2]*Pi^(3/4)*Exp[Pi/2])/Gamma[-1/4]^3, 10, 100]]

Prog

(PARI) (1/8) * exp(Pi / 2) * Pi^(3/4) * sqrt(2) / gamma(3/4)^3

Crossrefs

Cf. A045828.

Sequence in context: A388391 A389042 A192932 * A361061 A301865 A388577

Adjacent sequences: A388432 A388433 A388434 * A388436 A388437 A388438

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved