A388694 Decimal expansion of 2 * exp(-Pi/24) * 2^(1/8) * Gamma(3/4)^4 / Pi.

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A182820(k) / exp(k*Pi).

Example

1.3733936643854165822401597466276357622...

Mathematica

First[RealDigits[(2*2^(1/8)*Exp[-1/24*Pi]*Gamma[3/4]^4)/Pi, 10, 100]]

Prog

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

Crossrefs

Cf. A182820.

Sequence in context: A242461 A379354 A065443 * A198350 A117190 A375553

Adjacent sequences: A388691 A388692 A388693 * A388695 A388696 A388697

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved