A388446 Decimal expansion of exp(-Pi / 2) * 2^(3/4) * (2+sqrt(2)).

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

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} A058514(k) / exp(k*Pi).

Example

1.1936445047514210755630713979253063660...

Mathematica

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

Prog

(PARI) exp(-Pi / 2) * 2^(3/4) * (2+2^(1/2))

Crossrefs

Cf. A058514.

Sequence in context: A169849 A182547 A019737 * A088543 A256854 A388246

Adjacent sequences: A388443 A388444 A388445 * A388447 A388448 A388449

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved