A388097 Decimal expansion of (1/8) * exp(1/2 * Pi) * 2^(1/2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A001938(k) / exp(k*Pi).

Example

0.85038029420627578205997577522294835877...

Mathematica

First[RealDigits[Exp[Pi/2]/(4*Sqrt[2]), 10, 100]]

Prog

(PARI) 1/8 * exp(1/2 * Pi) * 2^(1/2)

Crossrefs

Cf. A001938.

Sequence in context: A154224 A257575 A154165 * A377695 A198216 A361260

Adjacent sequences: A388094 A388095 A388096 * A388098 A388099 A388100

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved