A388566 Decimal expansion of (1/4) * exp(5*Pi/24) * sqrt(Pi) * 2^(7/8) / Gamma(3/4)^2.

1, 0, 4, 1, 3, 4, 2, 6, 9, 3, 0, 0, 5, 1, 0, 0, 3, 5, 9, 4, 4, 4, 2, 0, 1, 1, 8, 6, 4, 0, 2, 3, 3, 7, 4, 6, 3, 0, 9, 5, 3, 9, 6, 6, 5, 6, 2, 6, 7, 1, 4, 0, 4, 0, 0, 6, 8, 0, 4, 5, 4, 7, 8, 0, 4, 4, 1, 6, 3, 1, 5, 5, 7, 8, 0, 6, 2, 4, 4, 9, 5, 0, 5, 2, 4, 7, 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} A117410(k) / exp(k*Pi).

Example

1.0413426930051003594442011864023374631...

Mathematica

First[RealDigits[(4*2^(7/8)*Sqrt[Pi]*Exp[(5*Pi)/24])/Gamma[-1/4]^2, 10, 100]]

Prog

(PARI) (1/4) * exp(5/24 * Pi) * sqrt(Pi) * 2^(7/8) / gamma(3/4)^2

Crossrefs

Cf. A117410.

Sequence in context: A359855 A078147 A376312 * A362331 A376264 A388569

Adjacent sequences: A388563 A388564 A388565 * A388567 A388568 A388569

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved