A388172 Decimal expansion of (1/4) * exp(Pi/2) * Pi^(3/4) * sqrt(2) / Gamma(3/4)^3.

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

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} A005884(k) / exp(k*Pi).

Example

2.1809926474876803989808104848986704037...

Mathematica

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

Prog

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

Crossrefs

Cf. A005884.

Sequence in context: A179447 A021825 A330187 * A323690 A152901 A317832

Adjacent sequences: A388169 A388170 A388171 * A388173 A388174 A388175

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved