A388594 Decimal expansion of 8 * exp(-Pi) * (2+sqrt(2)).

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

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} A131125(k) / exp(k*Pi).

Example

1.18033236655562885922082219277364335896527372618609328558410336852849309527....

Mathematica

First[RealDigits[8*(2 + Sqrt[2])*Exp[-Pi], 10, 100]]

Prog

(PARI) 8 * exp(-Pi) * (2+2^(1/2))

Crossrefs

Cf. A131125.

Sequence in context: A373513 A388814 A388504 * A020837 A248679 A175574

Adjacent sequences: A388591 A388592 A388593 * A388595 A388596 A388597

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved