A388254 Decimal expansion of (1/4) * exp(Pi / 2) * sqrt(2).

1, 7, 0, 0, 7, 6, 0, 5, 8, 8, 4, 1, 2, 5, 5, 1, 5, 6, 4, 1, 1, 9, 9, 5, 1, 5, 5, 0, 4, 4, 5, 8, 9, 6, 7, 1, 7, 5, 4, 4, 7, 9, 6, 4, 1, 3, 5, 9, 7, 1, 3, 4, 6, 9, 3, 5, 9, 2, 9, 8, 4, 5, 0, 0, 1, 9, 7, 5, 0, 5, 4, 6, 0, 4, 0, 6, 3, 5, 4, 6, 5, 7, 2, 7, 4, 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} A022577(k) / exp(k*Pi).

Example

1.7007605884125515641199515504458967175...

Mathematica

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

Prog

(PARI) (1/4) * exp(Pi / 2) * sqrt(2)

Crossrefs

Cf. A022577.

Sequence in context: A235140 A249119 A154102 * A344785 A390281 A240984

Adjacent sequences: A388251 A388252 A388253 * A388255 A388256 A388257

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved