A388113 Decimal expansion of (sqrt(2) * exp(Pi / 2) * Gamma(5/4) * sin(Pi / 8)) / Pi^(3/4).

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

Offset

1,7

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} A003982(k) / exp(k*Pi).

Example

1.0000034873423562514070036054270424470...

Mathematica

First[RealDigits[(Sqrt[2]*Exp[Pi/2]*Gamma[5/4]*Sin[Pi/8])/Pi^(3/4), 10, 100]]

Prog

(PARI) (1/8) * 2^(3/4) * gamma(5/8) * exp(1/2 * Pi) / Pi^(1/4) / gamma(7/8)

Crossrefs

Cf. A003982.

Sequence in context: A081543 A328876 A105753 * A292822 A255703 A255700

Adjacent sequences: A388110 A388111 A388112 * A388114 A388115 A388116

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved