A388706 Decimal expansion of (sqrt(-1/2+1 / sqrt(2)) * exp(Pi / 2)) / 2.

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

Offset

1,3

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A187154(k) / exp(k*Pi).

Example

1.094599740270635229022445909724061197...

Mathematica

First[RealDigits[Exp[Pi/2]*Sqrt[(Sqrt[2] - 1)/8], 10, 100]] (* Paolo Xausa, Sep 20 2025 *)

Prog

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

Crossrefs

Cf. A187154.

Sequence in context: A389012 A388242 A374490 * A213614 A099281 A086240

Adjacent sequences: A388703 A388704 A388705 * A388707 A388708 A388709

Keyword

nonn,cons,easy

Author

Simon Plouffe, Sep 18 2025

Status

approved