A388591 Decimal expansion of 2 * exp(Pi / 2) * Pi * sqrt(2) / Gamma(3/4)^4.

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

Offset

2,2

Links

Table of n, a(n) for n=2..88.

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

Formula

Empirical: Equals Sum_{k>=0} A129588(k) / exp(k*Pi).

Example

18.956050681847127124272646865247647470...

Mathematica

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

Prog

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

Crossrefs

Cf. A129588.

Sequence in context: A199383 A199460 A245772 * A190289 A198119 A395940

Adjacent sequences: A388588 A388589 A388590 * A388592 A388593 A388594

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved