A388757 Decimal expansion of (Pi^(3/4) * exp(Pi / 8)) / (2^(5/8) * Gamma(3/4)^3).

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

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} A213022(k) / exp(k*Pi).

Example

1.2314430017891902761255239757380317066...

Mathematica

First[RealDigits[(Pi^(3/4)*Exp[Pi/8])/(2^(5/8)*Gamma[3/4]^3), 10, 100]]

Prog

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

Crossrefs

Cf. A213022.

Sequence in context: A090244 A210976 A258263 * A096180 A354265 A324336

Adjacent sequences: A388754 A388755 A388756 * A388758 A388759 A388760

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved