A388087 Decimal expansion of (1/4) * exp(1/6 * Pi) * Pi * 2^(1/2) / Gamma(3/4)^4.

8, 3, 1, 5, 0, 6, 7, 0, 6, 2, 6, 7, 2, 4, 7, 4, 4, 9, 6, 6, 5, 9, 6, 3, 9, 2, 6, 3, 4, 5, 6, 5, 8, 5, 1, 1, 1, 7, 7, 8, 7, 6, 5, 3, 2, 7, 0, 1, 7, 1, 7, 7, 2, 5, 8, 0, 4, 5, 8, 7, 1, 5, 8, 3, 1, 6, 0, 4, 7, 6, 2, 0, 4, 3, 1, 0, 6, 5, 7, 1, 7, 8, 7, 2, 8, 2, 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} A000727(k) / exp(k*Pi).

Example

0.83150670626724744966596392634565851117...

Mathematica

First[RealDigits[(64*Sqrt[2]*Pi*Exp[Pi/6])/Gamma[-1/4]^4, 10, 100]]

Prog

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

Crossrefs

Cf. A000727.

Sequence in context: A081822 A388811 A021550 * A388470 A388515 A092555

Adjacent sequences: A388084 A388085 A388086 * A388088 A388089 A388090

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved