A388432 Decimal expansion of 12 * (1+sqrt(2)) * exp(-Pi).

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

Offset

1,2

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} A045490(k) / exp(k*Pi).

Example

1.2519315306681762915382204430997289031...

Mathematica

First[RealDigits[12*(1 + Sqrt[2])*Exp[-Pi], 10, 100]]

Prog

(PARI) 6 * exp(-Pi) * sqrt(2) * (2+2^(1/2))

Crossrefs

Cf. A045490.

Sequence in context: A174815 A021401 A280637 * A271872 A286677 A199868

Adjacent sequences: A388429 A388430 A388431 * A388433 A388434 A388435

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved