A388396 Decimal expansion of (1024 * (-4+3 * sqrt(2)) * exp(3 * Pi) * Gamma(5/4)^16) / Pi^12.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A034433(k) / exp(k*Pi).

Example

0.69140340250013819567554280455834592263...

Mathematica

First[RealDigits[(1024*(-4 + 3*Sqrt[2])*Exp[3*Pi]*Gamma[5/4]^16)/Pi^12, 10, 100]]

Prog

(PARI) (1/4194304) * exp(3 * Pi) * sqrt(2) * gamma(5/8)^16 * (99+70 * sqrt(2)) / Pi^4 / gamma(7/8)^16

Crossrefs

Cf. A034433.

Sequence in context: A339802 A257871 A154116 * A388091 A388579 A275614

Adjacent sequences: A388393 A388394 A388395 * A388397 A388398 A388399

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved