A388095 Decimal expansion of exp(Pi / 4) / 2.

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

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} A001936(k) / exp(k*Pi).

Example

1.0966400253690077282798848296393691117...

Mathematica

First[RealDigits[Exp[Pi/4]/2, 10, 100]]

Prog

(PARI) 1/2 * exp(1/4 * Pi)

Crossrefs

Cf. A001936.

Sequence in context: A309822 A195365 A092513 * A388085 A388108 A381155

Adjacent sequences: A388092 A388093 A388094 * A388096 A388097 A388098

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved