A388750 Decimal expansion of (32 * sqrt(82+58 * sqrt(2)) * exp(Pi / 2) * Gamma(5/4)^4 * sin(Pi / 8)^4) / Pi^3.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A209940(k) / exp(k*Pi).

Example

0.92041931874526278414769995064658576486...

Mathematica

First[RealDigits[(32*Sqrt[82 + 58*Sqrt[2]]*Exp[Pi/2]*Gamma[5/4]^4*Sin[Pi/8]^4)/Pi^3, 10, 100]]

Prog

(PARI) (1/64) * exp(Pi / 2) * gamma(5/8)^4*2^(1/4) * (3+2 * sqrt(2)) * (2+2^(1/2))^(1/2) / Pi / gamma(7/8)^4

Crossrefs

Cf. A209940.

Sequence in context: A193373 A246564 A357318 * A327995 A388935 A388754

Adjacent sequences: A388747 A388748 A388749 * A388751 A388752 A388753

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved