A388457 Decimal expansion of (1/2) * exp(Pi / 24) * Pi^(3/4) * 2^(1/8) / Gamma(3/4)^3.

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

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} A080332(k) / exp(k*Pi).

Example

0.79700085374264001755839758875836444908...

Mathematica

First[RealDigits[(Pi^(3/4)*Exp[Pi/24])/(2^(7/8)*Gamma[3/4]^3), 10, 100]]

Prog

(PARI) (1/2) * exp(Pi / 24) * Pi^(3/4) * 2^(1/8) / gamma(3/4)^3

Crossrefs

Cf. A080332.

Sequence in context: A154168 A389356 A019644 * A100639 A194641 A248674

Adjacent sequences: A388454 A388455 A388456 * A388458 A388459 A388460

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved