A388615 Decimal expansion of ((2-sqrt(3))^(1/6) * (Pi / 2)^(1/4) * exp(Pi / 8)) / Gamma(3/4).

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

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} A133988(k) / exp(k*Pi).

Example

1.08634714352234090900470792707851085908787348649169495795946630273243965093....

Mathematica

First[RealDigits[((2 - Sqrt[3])^(1/6)*(Pi/2)^(1/4)*Exp[Pi/8])/Gamma[3/4], 10, 100]]

Prog

(PARI) exp(Pi / 8) * Pi^(1/4) * 2^(1/12) / gamma(3/4) / (2^(1/2) * (1+3^(1/2)))^(1/3)

Crossrefs

Cf. A133988.

Sequence in context: A195336 A196773 A197824 * A085666 A084895 A154719

Adjacent sequences: A388612 A388613 A388614 * A388616 A388617 A388618

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved