A388673 Decimal expansion of (3/8) * exp(Pi / 3) * Pi^2 / Gamma(3/4)^8.

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

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} A153729(k) / exp(k*Pi).

Example

2.0742102077022195875661423863219165232...

Mathematica

First[RealDigits[(3*Pi^2*Exp[Pi/3])/(8*Gamma[3/4]^8), 10, 100]]

Prog

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

Crossrefs

Cf. A153729.

Sequence in context: A105394 A386404 A196767 * A307216 A011343 A326731

Adjacent sequences: A388670 A388671 A388672 * A388674 A388675 A388676

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved