A388459 Decimal expansion of (1/4) * exp(Pi / 4) * Pi^(3/4) * 2^(5/8) / Gamma(3/4)^3.

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

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} A080966(k) / exp(k*Pi).

Example

1.0843983859567250171013246759566727713...

Mathematica

First[RealDigits[(-16*2^(5/8)*Pi^(3/4)*Exp[Pi/4])/Gamma[-1/4]^3, 10, 100]]

Prog

(PARI) (1/4) * exp(Pi / 4) * Pi^(3/4) * 2^(5/8) / gamma(3/4)^3

Crossrefs

Cf. A080966.

Sequence in context: A292529 A370000 A154211 * A388746 A388675 A019723

Adjacent sequences: A388456 A388457 A388458 * A388460 A388461 A388462

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved