A388741 Decimal expansion of ((4756+3363 * sqrt(2))^(1/8) * Gamma(1/4)^2 * sin(Pi / 8)^2) / Pi^(3/2).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A204531(k) / exp(k*Pi).

Example

1.0864272336730392063901019883307068269...

Mathematica

First[RealDigits[((4756 + 3363*Sqrt[2])^(1/8)*Gamma[1/4]^2*Sin[Pi/8]^2)/Pi^(3/2), 10, 100]]

Prog

(PARI) (1/4) * 2^(3/16) * gamma(5/8)^2 * (2+2^(1/2)) / (2-2^(1/2))^(1/4) / gamma(7/8)^2 / sqrt(Pi)

Crossrefs

Cf. A204531.

Sequence in context: A177154 A059631 A388550 * A388107 A333198 A093019

Adjacent sequences: A388738 A388739 A388740 * A388742 A388743 A388744

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved