A388490 Decimal expansion of (1/16) * exp(3*Pi/4) * Pi * 2^(1/4) / Gamma(3/4)^4.

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

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} A097723(k) / exp(k*Pi).

Example

1.0925327702793314551258561532670667592...

Mathematica

First[RealDigits[(16*2^(1/4)*Pi*Exp[(3*Pi)/4])/Gamma[-1/4]^4, 10, 100]]

Prog

(PARI) (1/16) * exp(3/4 * Pi) * Pi * 2^(1/4) / gamma(3/4)^4

Crossrefs

Cf. A097723.

Sequence in context: A176019 A079059 A388764 * A342574 A388449 A388244

Adjacent sequences: A388487 A388488 A388489 * A388491 A388492 A388493

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved