A388664 Decimal expansion of (1/2) * exp(Pi/6) * sqrt(Pi) * 2^(1/8) / Gamma(3/4)^2.

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

Offset

1,3

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} A143380(k) / exp(k*Pi).

Example

1.0864310224299608719149013266052550946...

Mathematica

First[RealDigits[(Sqrt[Pi]*Exp[Pi/6])/(2^(7/8)*Gamma[3/4]^2), 10, 100]]

Prog

(PARI) (1/2) * exp(1/6 * Pi) * sqrt(Pi) * 2^(1/8) / gamma(3/4)^2

Crossrefs

Cf. A143380.

Sequence in context: A333198 A093019 A388399 * A388745 A175573 A296494

Adjacent sequences: A388661 A388662 A388663 * A388665 A388666 A388667

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved