A388782 Decimal expansion of (1/512) * exp(Pi / 2) * Pi^3 * sqrt(2) / Gamma(3/4)^12.

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

Offset

0,2

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} A225872(k) / exp(k*Pi).

Example

0.0359316603731744963796943567329169571...

Mathematica

First[RealDigits[32768*Sqrt[2]*Pi^3*Exp[Pi/2]/Gamma[-1/4]^12, 10, 100, -1]]

Prog

(PARI) (1/512) * exp(Pi / 2) * Pi^3 * sqrt(2) / gamma(3/4)^12

Crossrefs

Cf. A225872.

Sequence in context: A387377 A303772 A200510 * A138055 A384457 A236556

Adjacent sequences: A388779 A388780 A388781 * A388783 A388784 A388785

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved