A388125 Decimal expansion of Gamma(3/4)^10 / Pi^(5/2).

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

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} A004411(k) / exp(k*Pi).

Example

0.43647891903965248232924388671555097261...

Mathematica

First[RealDigits[Gamma[3/4]^10/Pi^(5/2), 10, 100]]

Prog

(PARI) 1 / Pi^(5/2) * gamma(3/4)^10

Crossrefs

Cf. A004411.

Sequence in context: A109339 A071989 A290278 * A300894 A328258 A190415

Adjacent sequences: A388122 A388123 A388124 * A388126 A388127 A388128

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved