A388209 Decimal expansion of (729/64) * Pi^6 / Gamma(3/4)^24.

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

Offset

2,1

Links

Table of n, a(n) for n=2..88.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A008662(k) / exp(k*Pi).

Example

83.2982157515602392490295722297285903624722617968852981968952228284125667883....

Mathematica

First[RealDigits[(729*Pi^6)/(64*Gamma[3/4]^24), 10, 100]]

Prog

(PARI) (729/64) * Pi^6 / gamma(3/4)^24

Crossrefs

Cf. A008662.

Sequence in context: A194159 A154158 A100863 * A021986 A387468 A197729

Adjacent sequences: A388206 A388207 A388208 * A388210 A388211 A388212

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved