A388593 Decimal expansion of 8 * (1+sqrt(2)) * exp(-Pi).

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

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} A131124(k) / exp(k*Pi).

Example

0.83462102044545086102548029539981926875944884770102862173834586932008696921....

Mathematica

First[RealDigits[8*(1 + Sqrt[2])*Exp[-Pi], 10, 100]]

Prog

(PARI) 4 * exp(-Pi) * sqrt(2) * (2+2^(1/2))

Crossrefs

Cf. A131124.

Sequence in context: A091895 A111436 A388704 * A014549 A388570 A346441

Adjacent sequences: A388590 A388591 A388592 * A388594 A388595 A388596

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved