A388963 Decimal expansion of ((9512+6726 * sqrt(2))^(1/4) * exp(-Pi/8) * Gamma(1/4)^4 * sin(Pi / 8)^4) / Pi^3.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A279918(k) / exp(k*Pi).

Example

0.94778917005735130340492317590268254584308732443799568529337222541350350372....

Mathematica

First[RealDigits[((9512 + 6726*Sqrt[2])^(1/4)*Exp[-1/8*Pi]*Gamma[1/4]^4*Sin[Pi/8]^4)/Pi^3, 10, 100]]

Prog

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

Crossrefs

Cf. A279918.

Sequence in context: A176515 A087017 A065466 * A122790 A388945 A388164

Adjacent sequences: A388960 A388961 A388962 * A388964 A388965 A388966

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 21 2025

Status

approved