A388672 Decimal expansion of (3/8) * exp(Pi/6) * Pi^2 * sqrt(2) / Gamma(3/4)^8.

1, 7, 3, 7, 6, 8, 7, 6, 1, 6, 0, 9, 7, 2, 8, 4, 4, 6, 6, 4, 5, 0, 7, 2, 1, 7, 9, 0, 0, 2, 7, 4, 4, 2, 3, 5, 9, 4, 4, 1, 3, 2, 4, 9, 6, 3, 0, 1, 6, 8, 2, 7, 8, 2, 1, 6, 4, 4, 6, 2, 4, 6, 9, 5, 0, 5, 0, 7, 8, 3, 7, 4, 8, 1, 1, 4, 3, 1, 2, 8, 7, 5, 7, 4, 0, 1, 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} A153728(k) / exp(k*Pi).

Example

1.7376876160972844664507217900274423594...

Mathematica

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

Prog

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

Crossrefs

Cf. A153728.

Sequence in context: A244258 A271178 A247950 * A256844 A346538 A166201

Adjacent sequences: A388669 A388670 A388671 * A388673 A388674 A388675

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved