A389027 Decimal expansion of Pi^2 / (sqrt(2) * Gamma(3/4)^8).

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

Offset

1,2

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A291124(k) / exp(k*Pi).

Example

1.3725064172305943995979133748490801953...

Mathematica

First[RealDigits[Pi^2/(Sqrt[2]*Gamma[3/4]^8), 10, 100]]

Prog

(PARI) (1/2) * Pi^2 * sqrt(2) / gamma(3/4)^8

Crossrefs

Cf. A291124.

Sequence in context: A064824 A336893 A226521 * A091723 A274509 A016618

Adjacent sequences: A389024 A389025 A389026 * A389028 A389029 A389030

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved