A388192 Decimal expansion of (1/4) * exp(Pi / 4) * sqrt(Pi) * 2^(3/4) / Gamma(3/4)^2.

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

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} A008441(k) / exp(k*Pi).

Example

1.0884636730802941432941112402336658863...

Mathematica

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

Prog

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

Crossrefs

Cf. A008441.

Sequence in context: A383224 A370971 A126600 * A254615 A388763 A388483

Adjacent sequences: A388189 A388190 A388191 * A388193 A388194 A388195

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved