A388513 Decimal expansion of (1/8) * exp(Pi) / sqrt(Pi) / Gamma(3/4)^2.

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

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} A111938(k) / exp(k*Pi).

Example

1.0867855103927686573850621394976780896...

Mathematica

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

Prog

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

Crossrefs

Cf. A111938.

Sequence in context: A019792 A272487 A020828 * A388872 A378968 A011465

Adjacent sequences: A388510 A388511 A388512 * A388514 A388515 A388516

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved