A388909 Decimal expansion of (exp((5 * Pi) / 8) * Gamma(5/4) * sin(Pi / 8)) / Pi^(3/4).

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

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} A260164(k) / exp(k*Pi).

Example

1.0472094700205707355064531575845733918...

Mathematica

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

Prog

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

Crossrefs

Cf. A260164.

Sequence in context: A388461 A388775 A388691 * A388933 A388692 A388934

Adjacent sequences: A388906 A388907 A388908 * A388910 A388911 A388912

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved