A389039 Decimal expansion of (2 / Pi)^(3/4) * Gamma(3/4)^3.

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A319552(k) / exp(k*Pi).

Example

1.3114794161716597885427816075693107758...

Mathematica

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

Prog

(PARI) 2^(3/4) * gamma(3/4)^3 / Pi^(3/4)

Crossrefs

Cf. A319552.

Sequence in context: A160870 A345279 A376335 * A342447 A025255 A296006

Adjacent sequences: A389036 A389037 A389038 * A389040 A389041 A389042

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved