A388950 Decimal expansion of 2 * sqrt(2 / Pi) * exp(-Pi/4) * Gamma(3/4)^2.

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

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} A273225(k) / exp(k*Pi).

Example

1.0925556308529143244425098642796090481...

Mathematica

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

Prog

(PARI) 2 * exp(-Pi / 4) * sqrt(2) * gamma(3/4)^2 / sqrt(Pi)

Crossrefs

Cf. A273225.

Sequence in context: A389013 A388497 A388755 * A378388 A082831 A085551

Adjacent sequences: A388947 A388948 A388949 * A388951 A388952 A388953

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved