A388309 Decimal expansion of (1/8) * exp(3*Pi/4) * 2^(3/4).

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

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

Formula

Empirical: Equals Sum_{k>=0} A022583(k) / exp(k*Pi).

Example

2.2180165130809910904621167179280679616...

Mathematica

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

Prog

(PARI) (1/8) * exp(3/4 * Pi) * 2^(3/4)

Crossrefs

Cf. A022583.

Sequence in context: A100632 A225925 A357553 * A246745 A111540 A360410

Adjacent sequences: A388306 A388307 A388308 * A388310 A388311 A388312

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved