A388588 Decimal expansion of (1/8) * exp(3*Pi/8) * Pi^(3/2) * 2^(1/8) / Gamma(3/4)^6.

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

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} A128713(k) / exp(k*Pi).

Example

0.72811827463221590430129437717598153049...

Mathematica

First[RealDigits[(512*2^(1/8)*Pi^(3/2)*Exp[(3*Pi)/8])/Gamma[-1/4]^6, 10, 100]]

Prog

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

Crossrefs

Cf. A128713.

Sequence in context: A253383 A010506 A197845 * A389017 A082633 A121239

Adjacent sequences: A388585 A388586 A388587 * A388589 A388590 A388591

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved