A388740 Decimal expansion of (9/256) * exp(Pi) * Pi^2 / Gamma(3/4)^8.

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A204386(k) / exp(k*Pi).

Example

1.57909507669668574144178517851357875749823845478116577071574461608817116153....

Mathematica

First[RealDigits[(2304*Pi^2*Exp[Pi])/Gamma[-1/4]^8, 10, 100]]

Prog

(PARI) (9/256) * exp(Pi) * Pi^2 / gamma(3/4)^8

Crossrefs

Cf. A204386.

Sequence in context: A353601 A104423 A011347 * A388801 A296490 A290151

Adjacent sequences: A388737 A388738 A388739 * A388741 A388742 A388743

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved