A388100 Decimal expansion of (1/16) * exp(7*Pi/8) * sqrt(2).

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

Offset

1,2

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} A001941(k) / exp(k*Pi).

Example

1.38109745439958858258979993786176844054687508363669604196835058837196802154....

Mathematica

First[RealDigits[Exp[(7*Pi)/8]/(8*Sqrt[2]), 10, 100]]

Prog

(PARI) 1/16 * exp(7/8 * Pi) * 2^(1/2)

Crossrefs

Cf. A001941.

Sequence in context: A327195 A374952 A140272 * A210962 A388354 A021728

Adjacent sequences: A388097 A388098 A388099 * A388101 A388102 A388103

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved