A389023 Decimal expansion of (1/8388608) * exp(9*Pi/2) * Pi^9 * sqrt(2) / Gamma(3/4)^36.

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

Offset

1,1

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} A287990(k) / exp(k*Pi).

Example

4.5988676018259066199830371187706491827...

Mathematica

First[RealDigits[(Pi^9*Exp[(9*Pi)/2])/(4194304*Sqrt[2]*Gamma[3/4]^36), 10, 100]]

Prog

(PARI) (1/8388608) * exp(9/2 * Pi) * Pi^9 * sqrt(2) / gamma(3/4)^36

Crossrefs

Cf. A287990.

Sequence in context: A200354 A328485 A021689 * A178610 A197268 A218505

Adjacent sequences: A389020 A389021 A389022 * A389024 A389025 A389026

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved