A388084 Decimal expansion of (1/512) * exp(Pi) * Pi^6 / Gamma(3/4)^24.

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

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} A000594(k) / exp(k*Pi).

Example

0.33051755959632854743859758293255229047...

Mathematica

First[RealDigits[(Pi^6*Exp[Pi])/(512*Gamma[3/4]^24), 10, 100]]

Prog

(PARI) 1/512 * exp(Pi) * Pi^6 / gamma(3/4)^24

Crossrefs

Cf. A000594.

Sequence in context: A096439 A377143 A256119 * A385694 A217552 A128046

Adjacent sequences: A388081 A388082 A388083 * A388085 A388086 A388087

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved