A388212 Decimal expansion of (1/16) * exp(3*Pi/8) * Pi^(9/4) * 2^(5/8) / Gamma(3/4)^9.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A010817(k) / exp(k*Pi).

Example

0.66023410057302856968489691765854195477...

Mathematica

First[RealDigits[(Pi^(9/4)*Exp[(3*Pi)/8])/(8*2^(3/8)*Gamma[3/4]^9), 10, 100]]

Prog

(PARI) (1/16) * exp(3/8 * Pi) * Pi^(9/4) * 2^(5/8) / gamma(3/4)^9

Crossrefs

Cf. A010817.

Sequence in context: A155742 A364406 A005597 * A281056 A273989 A197013

Adjacent sequences: A388209 A388210 A388211 * A388213 A388214 A388215

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved