A388627 Decimal expansion of (3/512) * exp(3*Pi/2) * Pi^4 * sqrt(2) / Gamma(3/4)^16.

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

Offset

1,1

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} A135828(k) / exp(k*Pi).

Example

3.4752782744538807779790491501131681526...

Mathematica

First[RealDigits[(3*Pi^4*Exp[(3*Pi)/2])/(256*Sqrt[2]*Gamma[3/4]^16), 10, 100]]

Prog

(PARI) (3/512) * exp(3/2 * Pi) * Pi^4 * sqrt(2) / gamma(3/4)^16

Crossrefs

Cf. A135828.

Sequence in context: A267447 A071051 A212807 * A163830 A254931 A338285

Adjacent sequences: A388624 A388625 A388626 * A388628 A388629 A388630

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved