A388221 Decimal expansion of (1/256) * exp(5*Pi/6) * Pi^5 * sqrt(2) / Gamma(3/4)^20.

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

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} A010826(k) / exp(k*Pi).

Example

0.39749235587054872059020735440306744917...

Mathematica

First[RealDigits[Exp[5*Pi/6]*Pi^5*Sqrt[2]/(256*Gamma[3/4]^20), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/256) * exp(5/6 * Pi) * Pi^5 * sqrt(2) / gamma(3/4)^20

Crossrefs

Cf. A010826.

Sequence in context: A193026 A385260 A296503 * A265298 A296475 A395524

Adjacent sequences: A388218 A388219 A388220 * A388222 A388223 A388224

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved