A388751 Decimal expansion of (1/4) * exp(Pi / 4) * Pi^(3/2) * sqrt(2) / Gamma(3/4)^6.

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

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} A209941(k) / exp(k*Pi).

Example

1.2751789385754741625795557274535406298...

Mathematica

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

Prog

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

Crossrefs

Cf. A209941.

Sequence in context: A201319 A110945 A197571 * A388382 A178422 A372773

Adjacent sequences: A388748 A388749 A388750 * A388752 A388753 A388754

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved