A388120 Decimal expansion of Gamma(3/4)^5 / Pi^(5/4).

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

Offset

0,1

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A004406(k) / exp(k*Pi).

Example

0.66066551222207178439785729975405660026744310387491564920861957057062255978....

Mathematica

First[RealDigits[Gamma[3/4]^5/Pi^(5/4), 10, 100]]

Prog

(PARI) 1 / Pi^(5/4) * gamma(3/4)^5

Crossrefs

Cf. A004406.

Sequence in context: A081825 A272648 A212708 * A028969 A029681 A389332

Adjacent sequences: A388117 A388118 A388119 * A388121 A388122 A388123

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved