A388096 Decimal expansion of (1/4) * exp(3/8 * Pi) * 2^(1/2).

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

Offset

1,3

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} A001937(k) / exp(k*Pi).

Example

1.1484078148788087524710011715015315115...

Mathematica

First[RealDigits[Exp[(3*Pi)/8]/(2*Sqrt[2]), 10, 100]]

Prog

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

Crossrefs

Cf. A001937.

Sequence in context: A033197 A124002 A014457 * A376546 A365941 A365946

Adjacent sequences: A388093 A388094 A388095 * A388097 A388098 A388099

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved