A388573 Decimal expansion of (1/8) * exp(Pi / 2) * Pi^(3/2) * sqrt(2) / Gamma(3/4)^6.

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

Offset

1,2

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} A122854(k) / exp(k*Pi).

Example

1.3984122635494323333121885746826365757...

Mathematica

First[RealDigits[(512*Sqrt[2]*Pi^(3/2)*Exp[Pi/2])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/8) * exp(Pi / 2) * Pi^(3/2) * sqrt(2) / gamma(3/4)^6

Crossrefs

Cf. A122854.

Sequence in context: A378021 A199052 A021255 * A395846 A388665 A394964

Adjacent sequences: A388570 A388571 A388572 * A388574 A388575 A388576

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved