A388228 Decimal expansion of (1/2048) * exp(7*Pi/6) * Pi^7 * sqrt(2) / Gamma(3/4)^28.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

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

Formula

Empirical: Equals Sum_{k>=0} A010833(k) / exp(k*Pi).

Example

0.27482756734343181504637005922760520560...

Mathematica

First[RealDigits[Exp[7*Pi/6]*Pi^7*Sqrt[2]/(2048*Gamma[3/4]^28), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/2048) * exp(7/6 * Pi) * Pi^7 * sqrt(2) / gamma(3/4)^28

Crossrefs

Cf. A010833.

Sequence in context: A011050 A198935 A019779 * A222056 A247448 A388943

Adjacent sequences: A388225 A388226 A388227 * A388229 A388230 A388231

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved