A388168 Decimal expansion of (1/2) * exp(Pi / 2) * Pi^(3/4) * sqrt(2) / Gamma(3/4)^3.

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

Offset

1,1

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} A005877(k) / exp(k*Pi).

Example

4.3619852949753607979616209697973408074...

Mathematica

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

Prog

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

Crossrefs

Cf. A005877.

Sequence in context: A394652 A369928 A016503 * A319614 A010653 A153200

Adjacent sequences: A388165 A388166 A388167 * A388169 A388170 A388171

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved